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Finding the Fourth Proportional to 9,102.56, 13,644 and 4,412.64

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Solution

The fourth proportional to 9,102.56, 13,644 and 4,412.64 is: 6,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.56 : 13,644 = 4,412.64 : x
  2. Step 2: Convert to fraction form
    9,102.56/13,644 = 4,412.64/x
  3. Step 3: Cross multiply
    9,102.56x = 13,644 × 4,412.64
  4. Step 4: Simplify right side
    9,102.56x = 60,206,060.16
  5. Step 5: Solve for x
    x = 60,206,060.16/9,102.56
  6. Step 6: Final answer
    x = 6,614.19

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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.