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Finding the Fourth Proportional to 9,148.78, 12,625.94 and 5,565.14

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Solution

The fourth proportional to 9,148.78, 12,625.94 and 5,565.14 is: 7,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.78 : 12,625.94 = 5,565.14 : x
  2. Step 2: Convert to fraction form
    9,148.78/12,625.94 = 5,565.14/x
  3. Step 3: Cross multiply
    9,148.78x = 12,625.94 × 5,565.14
  4. Step 4: Simplify right side
    9,148.78x = 70,265,123.73
  5. Step 5: Solve for x
    x = 70,265,123.73/9,148.78
  6. Step 6: Final answer
    x = 7,680.27

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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.