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Finding the Fourth Proportional to 9,348.10, 14,041.65 and 7,890.10

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Solution

The fourth proportional to 9,348.10, 14,041.65 and 7,890.10 is: 11,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.10 : 14,041.65 = 7,890.10 : x
  2. Step 2: Convert to fraction form
    9,348.10/14,041.65 = 7,890.10/x
  3. Step 3: Cross multiply
    9,348.10x = 14,041.65 × 7,890.10
  4. Step 4: Simplify right side
    9,348.10x = 110,790,022.67
  5. Step 5: Solve for x
    x = 110,790,022.67/9,348.10
  6. Step 6: Final answer
    x = 11,851.61

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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.