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Finding the Fourth Proportional to 9,592.68, 14,386.17 and 4,324.65

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Solution

The fourth proportional to 9,592.68, 14,386.17 and 4,324.65 is: 6,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.68 : 14,386.17 = 4,324.65 : x
  2. Step 2: Convert to fraction form
    9,592.68/14,386.17 = 4,324.65/x
  3. Step 3: Cross multiply
    9,592.68x = 14,386.17 × 4,324.65
  4. Step 4: Simplify right side
    9,592.68x = 62,215,150.09
  5. Step 5: Solve for x
    x = 62,215,150.09/9,592.68
  6. Step 6: Final answer
    x = 6,485.69

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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.