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Finding the Fourth Proportional to 9,124.56, 13,663.50 and 7,278.36

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Solution

The fourth proportional to 9,124.56, 13,663.50 and 7,278.36 is: 10,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.56 : 13,663.50 = 7,278.36 : x
  2. Step 2: Convert to fraction form
    9,124.56/13,663.50 = 7,278.36/x
  3. Step 3: Cross multiply
    9,124.56x = 13,663.50 × 7,278.36
  4. Step 4: Simplify right side
    9,124.56x = 99,447,871.86
  5. Step 5: Solve for x
    x = 99,447,871.86/9,124.56
  6. Step 6: Final answer
    x = 10,898.92

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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.