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Finding the Fourth Proportional to 9,437.90, 14,145 and 8,265.12

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Solution

The fourth proportional to 9,437.90, 14,145 and 8,265.12 is: 12,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.90 : 14,145 = 8,265.12 : x
  2. Step 2: Convert to fraction form
    9,437.90/14,145 = 8,265.12/x
  3. Step 3: Cross multiply
    9,437.90x = 14,145 × 8,265.12
  4. Step 4: Simplify right side
    9,437.90x = 116,910,122.40
  5. Step 5: Solve for x
    x = 116,910,122.40/9,437.90
  6. Step 6: Final answer
    x = 12,387.31

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