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Finding the Fourth Proportional to 37,202.96, 55,803.27 and 9,123.10

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Solution

The fourth proportional to 37,202.96, 55,803.27 and 9,123.10 is: 13,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,202.96 : 55,803.27 = 9,123.10 : x
  2. Step 2: Convert to fraction form
    37,202.96/55,803.27 = 9,123.10/x
  3. Step 3: Cross multiply
    37,202.96x = 55,803.27 × 9,123.10
  4. Step 4: Simplify right side
    37,202.96x = 509,098,812.54
  5. Step 5: Solve for x
    x = 509,098,812.54/37,202.96
  6. Step 6: Final answer
    x = 13,684.36

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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.