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Finding the Fourth Proportional to 9,152.52, 12,617.55 and 6,498.96

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Solution

The fourth proportional to 9,152.52, 12,617.55 and 6,498.96 is: 8,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.52 : 12,617.55 = 6,498.96 : x
  2. Step 2: Convert to fraction form
    9,152.52/12,617.55 = 6,498.96/x
  3. Step 3: Cross multiply
    9,152.52x = 12,617.55 × 6,498.96
  4. Step 4: Simplify right side
    9,152.52x = 82,000,952.75
  5. Step 5: Solve for x
    x = 82,000,952.75/9,152.52
  6. Step 6: Final answer
    x = 8,959.39

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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.