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Finding the Fourth Proportional to 37,344.16, 56,016.24 and 9,640

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Solution

The fourth proportional to 37,344.16, 56,016.24 and 9,640 is: 14,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,344.16 : 56,016.24 = 9,640 : x
  2. Step 2: Convert to fraction form
    37,344.16/56,016.24 = 9,640/x
  3. Step 3: Cross multiply
    37,344.16x = 56,016.24 × 9,640
  4. Step 4: Simplify right side
    37,344.16x = 539,996,553.60
  5. Step 5: Solve for x
    x = 539,996,553.60/37,344.16
  6. Step 6: Final answer
    x = 14,460

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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.