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Finding the Fourth Proportional to 9,524.02, 13,143.42 and 5,332.24

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Solution

The fourth proportional to 9,524.02, 13,143.42 and 5,332.24 is: 7,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.02 : 13,143.42 = 5,332.24 : x
  2. Step 2: Convert to fraction form
    9,524.02/13,143.42 = 5,332.24/x
  3. Step 3: Cross multiply
    9,524.02x = 13,143.42 × 5,332.24
  4. Step 4: Simplify right side
    9,524.02x = 70,083,869.86
  5. Step 5: Solve for x
    x = 70,083,869.86/9,524.02
  6. Step 6: Final answer
    x = 7,358.64

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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.