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Finding the Fourth Proportional to 9,031.56, 12,462.36 and 5,052.24

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Solution

The fourth proportional to 9,031.56, 12,462.36 and 5,052.24 is: 6,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.56 : 12,462.36 = 5,052.24 : x
  2. Step 2: Convert to fraction form
    9,031.56/12,462.36 = 5,052.24/x
  3. Step 3: Cross multiply
    9,031.56x = 12,462.36 × 5,052.24
  4. Step 4: Simplify right side
    9,031.56x = 62,962,833.69
  5. Step 5: Solve for x
    x = 62,962,833.69/9,031.56
  6. Step 6: Final answer
    x = 6,971.42

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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.