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Finding the Fourth Proportional to 9,031.40, 12,464.08 and 5,052.88

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Solution

The fourth proportional to 9,031.40, 12,464.08 and 5,052.88 is: 6,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.40 : 12,464.08 = 5,052.88 : x
  2. Step 2: Convert to fraction form
    9,031.40/12,464.08 = 5,052.88/x
  3. Step 3: Cross multiply
    9,031.40x = 12,464.08 × 5,052.88
  4. Step 4: Simplify right side
    9,031.40x = 62,979,503.50
  5. Step 5: Solve for x
    x = 62,979,503.50/9,031.40
  6. Step 6: Final answer
    x = 6,973.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.