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Finding the Fourth Proportional to 9,578.10, 14,348.02 and 7,487.70

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Solution

The fourth proportional to 9,578.10, 14,348.02 and 7,487.70 is: 11,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.10 : 14,348.02 = 7,487.70 : x
  2. Step 2: Convert to fraction form
    9,578.10/14,348.02 = 7,487.70/x
  3. Step 3: Cross multiply
    9,578.10x = 14,348.02 × 7,487.70
  4. Step 4: Simplify right side
    9,578.10x = 107,433,669.35
  5. Step 5: Solve for x
    x = 107,433,669.35/9,578.10
  6. Step 6: Final answer
    x = 11,216.60

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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.