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Finding the Fourth Proportional to 9,432.06, 13,011.03 and 5,652.78

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Solution

The fourth proportional to 9,432.06, 13,011.03 and 5,652.78 is: 7,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.06 : 13,011.03 = 5,652.78 : x
  2. Step 2: Convert to fraction form
    9,432.06/13,011.03 = 5,652.78/x
  3. Step 3: Cross multiply
    9,432.06x = 13,011.03 × 5,652.78
  4. Step 4: Simplify right side
    9,432.06x = 73,548,490.16
  5. Step 5: Solve for x
    x = 73,548,490.16/9,432.06
  6. Step 6: Final answer
    x = 7,797.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.