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Finding the Fourth Proportional to 9,117.60, 12,550.68 and 7,862.82

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Solution

The fourth proportional to 9,117.60, 12,550.68 and 7,862.82 is: 10,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.60 : 12,550.68 = 7,862.82 : x
  2. Step 2: Convert to fraction form
    9,117.60/12,550.68 = 7,862.82/x
  3. Step 3: Cross multiply
    9,117.60x = 12,550.68 × 7,862.82
  4. Step 4: Simplify right side
    9,117.60x = 98,683,737.72
  5. Step 5: Solve for x
    x = 98,683,737.72/9,117.60
  6. Step 6: Final answer
    x = 10,823.43

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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.