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Finding the Fourth Proportional to 9,323.72, 12,867.36 and 5,132.24

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Solution

The fourth proportional to 9,323.72, 12,867.36 and 5,132.24 is: 7,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.72 : 12,867.36 = 5,132.24 : x
  2. Step 2: Convert to fraction form
    9,323.72/12,867.36 = 5,132.24/x
  3. Step 3: Cross multiply
    9,323.72x = 12,867.36 × 5,132.24
  4. Step 4: Simplify right side
    9,323.72x = 66,038,379.69
  5. Step 5: Solve for x
    x = 66,038,379.69/9,323.72
  6. Step 6: Final answer
    x = 7,082.84

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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.