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Finding the Fourth Proportional to 7,265.26, 9,956.23 and 6,565.42

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Solution

The fourth proportional to 7,265.26, 9,956.23 and 6,565.42 is: 8,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.26 : 9,956.23 = 6,565.42 : x
  2. Step 2: Convert to fraction form
    7,265.26/9,956.23 = 6,565.42/x
  3. Step 3: Cross multiply
    7,265.26x = 9,956.23 × 6,565.42
  4. Step 4: Simplify right side
    7,265.26x = 65,366,831.57
  5. Step 5: Solve for x
    x = 65,366,831.57/7,265.26
  6. Step 6: Final answer
    x = 8,997.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.