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Finding the Fourth Proportional to 9,525.16, 14,301.38 and 5,834.71

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Solution

The fourth proportional to 9,525.16, 14,301.38 and 5,834.71 is: 8,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.16 : 14,301.38 = 5,834.71 : x
  2. Step 2: Convert to fraction form
    9,525.16/14,301.38 = 5,834.71/x
  3. Step 3: Cross multiply
    9,525.16x = 14,301.38 × 5,834.71
  4. Step 4: Simplify right side
    9,525.16x = 83,444,375.73
  5. Step 5: Solve for x
    x = 83,444,375.73/9,525.16
  6. Step 6: Final answer
    x = 8,760.42

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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.