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Finding the Fourth Proportional to 9,714.40, 14,545.68 and 8,548

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Solution

The fourth proportional to 9,714.40, 14,545.68 and 8,548 is: 12,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.40 : 14,545.68 = 8,548 : x
  2. Step 2: Convert to fraction form
    9,714.40/14,545.68 = 8,548/x
  3. Step 3: Cross multiply
    9,714.40x = 14,545.68 × 8,548
  4. Step 4: Simplify right side
    9,714.40x = 124,336,472.64
  5. Step 5: Solve for x
    x = 124,336,472.64/9,714.40
  6. Step 6: Final answer
    x = 12,799.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.