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Finding the Fourth Proportional to 37,265.31, 55,897.47 and 9,185.70

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Solution

The fourth proportional to 37,265.31, 55,897.47 and 9,185.70 is: 13,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,265.31 : 55,897.47 = 9,185.70 : x
  2. Step 2: Convert to fraction form
    37,265.31/55,897.47 = 9,185.70/x
  3. Step 3: Cross multiply
    37,265.31x = 55,897.47 × 9,185.70
  4. Step 4: Simplify right side
    37,265.31x = 513,457,390.18
  5. Step 5: Solve for x
    x = 513,457,390.18/37,265.31
  6. Step 6: Final answer
    x = 13,778.43

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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.