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Finding the Fourth Proportional to 9,283.65, 13,829 and 8,780.64

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Solution

The fourth proportional to 9,283.65, 13,829 and 8,780.64 is: 13,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.65 : 13,829 = 8,780.64 : x
  2. Step 2: Convert to fraction form
    9,283.65/13,829 = 8,780.64/x
  3. Step 3: Cross multiply
    9,283.65x = 13,829 × 8,780.64
  4. Step 4: Simplify right side
    9,283.65x = 121,427,470.56
  5. Step 5: Solve for x
    x = 121,427,470.56/9,283.65
  6. Step 6: Final answer
    x = 13,079.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.