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Finding the Fourth Proportional to 9,587.24, 14,396.70 and 7,247.24

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Solution

The fourth proportional to 9,587.24, 14,396.70 and 7,247.24 is: 10,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.24 : 14,396.70 = 7,247.24 : x
  2. Step 2: Convert to fraction form
    9,587.24/14,396.70 = 7,247.24/x
  3. Step 3: Cross multiply
    9,587.24x = 14,396.70 × 7,247.24
  4. Step 4: Simplify right side
    9,587.24x = 104,336,340.11
  5. Step 5: Solve for x
    x = 104,336,340.11/9,587.24
  6. Step 6: Final answer
    x = 10,882.83

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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.