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Finding the Fourth Proportional to 9,671.92, 14,488.64 and 6,375

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Solution

The fourth proportional to 9,671.92, 14,488.64 and 6,375 is: 9,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.92 : 14,488.64 = 6,375 : x
  2. Step 2: Convert to fraction form
    9,671.92/14,488.64 = 6,375/x
  3. Step 3: Cross multiply
    9,671.92x = 14,488.64 × 6,375
  4. Step 4: Simplify right side
    9,671.92x = 92,365,080
  5. Step 5: Solve for x
    x = 92,365,080/9,671.92
  6. Step 6: Final answer
    x = 9,549.82

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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.