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Finding the Fourth Proportional to 9,102.48, 12,561.46 and 5,565.64

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Solution

The fourth proportional to 9,102.48, 12,561.46 and 5,565.64 is: 7,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.48 : 12,561.46 = 5,565.64 : x
  2. Step 2: Convert to fraction form
    9,102.48/12,561.46 = 5,565.64/x
  3. Step 3: Cross multiply
    9,102.48x = 12,561.46 × 5,565.64
  4. Step 4: Simplify right side
    9,102.48x = 69,912,564.23
  5. Step 5: Solve for x
    x = 69,912,564.23/9,102.48
  6. Step 6: Final answer
    x = 7,680.61

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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.