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Finding the Fourth Proportional to 9,787.65, 13,506.96 and 5,311.47

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Solution

The fourth proportional to 9,787.65, 13,506.96 and 5,311.47 is: 7,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.65 : 13,506.96 = 5,311.47 : x
  2. Step 2: Convert to fraction form
    9,787.65/13,506.96 = 5,311.47/x
  3. Step 3: Cross multiply
    9,787.65x = 13,506.96 × 5,311.47
  4. Step 4: Simplify right side
    9,787.65x = 71,741,812.83
  5. Step 5: Solve for x
    x = 71,741,812.83/9,787.65
  6. Step 6: Final answer
    x = 7,329.83

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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.