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Finding the Fourth Proportional to 9,105.79, 12,565.80 and 5,072.60

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Solution

The fourth proportional to 9,105.79, 12,565.80 and 5,072.60 is: 7,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.79 : 12,565.80 = 5,072.60 : x
  2. Step 2: Convert to fraction form
    9,105.79/12,565.80 = 5,072.60/x
  3. Step 3: Cross multiply
    9,105.79x = 12,565.80 × 5,072.60
  4. Step 4: Simplify right side
    9,105.79x = 63,741,251.72
  5. Step 5: Solve for x
    x = 63,741,251.72/9,105.79
  6. Step 6: Final answer
    x = 7,000.08

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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.