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Finding the Fourth Proportional to 7,140.36, 9,859.17 and 5,565.72

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Solution

The fourth proportional to 7,140.36, 9,859.17 and 5,565.72 is: 7,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.36 : 9,859.17 = 5,565.72 : x
  2. Step 2: Convert to fraction form
    7,140.36/9,859.17 = 5,565.72/x
  3. Step 3: Cross multiply
    7,140.36x = 9,859.17 × 5,565.72
  4. Step 4: Simplify right side
    7,140.36x = 54,873,379.65
  5. Step 5: Solve for x
    x = 54,873,379.65/7,140.36
  6. Step 6: Final answer
    x = 7,684.96

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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.