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Finding the Fourth Proportional to 9,177.69, 13,766.54 and 8,710.23

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Solution

The fourth proportional to 9,177.69, 13,766.54 and 8,710.23 is: 13,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.69 : 13,766.54 = 8,710.23 : x
  2. Step 2: Convert to fraction form
    9,177.69/13,766.54 = 8,710.23/x
  3. Step 3: Cross multiply
    9,177.69x = 13,766.54 × 8,710.23
  4. Step 4: Simplify right side
    9,177.69x = 119,909,729.70
  5. Step 5: Solve for x
    x = 119,909,729.70/9,177.69
  6. Step 6: Final answer
    x = 13,065.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.