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Finding the Fourth Proportional to 9,834,273.10, 14,751,409.65 and 9,078,445.90

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Solution

The fourth proportional to 9,834,273.10, 14,751,409.65 and 9,078,445.90 is: 13,617,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834,273.10 : 14,751,409.65 = 9,078,445.90 : x
  2. Step 2: Convert to fraction form
    9,834,273.10/14,751,409.65 = 9,078,445.90/x
  3. Step 3: Cross multiply
    9,834,273.10x = 14,751,409.65 × 9,078,445.90
  4. Step 4: Simplify right side
    9,834,273.10x = 133,919,874,456,262.94
  5. Step 5: Solve for x
    x = 133,919,874,456,262.94/9,834,273.10
  6. Step 6: Final answer
    x = 13,617,668.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.