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Finding the Fourth Proportional to 9,711.83, 13,404.53 and 6,876.23

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Solution

The fourth proportional to 9,711.83, 13,404.53 and 6,876.23 is: 9,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.83 : 13,404.53 = 6,876.23 : x
  2. Step 2: Convert to fraction form
    9,711.83/13,404.53 = 6,876.23/x
  3. Step 3: Cross multiply
    9,711.83x = 13,404.53 × 6,876.23
  4. Step 4: Simplify right side
    9,711.83x = 92,172,581.49
  5. Step 5: Solve for x
    x = 92,172,581.49/9,711.83
  6. Step 6: Final answer
    x = 9,490.75

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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.