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Finding the Fourth Proportional to 9,031.72, 12,464.94 and 5,053.06

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Solution

The fourth proportional to 9,031.72, 12,464.94 and 5,053.06 is: 6,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.72 : 12,464.94 = 5,053.06 : x
  2. Step 2: Convert to fraction form
    9,031.72/12,464.94 = 5,053.06/x
  3. Step 3: Cross multiply
    9,031.72x = 12,464.94 × 5,053.06
  4. Step 4: Simplify right side
    9,031.72x = 62,986,089.72
  5. Step 5: Solve for x
    x = 62,986,089.72/9,031.72
  6. Step 6: Final answer
    x = 6,973.88

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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.