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Finding the Fourth Proportional to 9,105.34, 12,565.35 and 5,127.73

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Solution

The fourth proportional to 9,105.34, 12,565.35 and 5,127.73 is: 7,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.34 : 12,565.35 = 5,127.73 : x
  2. Step 2: Convert to fraction form
    9,105.34/12,565.35 = 5,127.73/x
  3. Step 3: Cross multiply
    9,105.34x = 12,565.35 × 5,127.73
  4. Step 4: Simplify right side
    9,105.34x = 64,431,722.16
  5. Step 5: Solve for x
    x = 64,431,722.16/9,105.34
  6. Step 6: Final answer
    x = 7,076.26

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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.