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Finding the Fourth Proportional to 8,472.94, 12,713.84 and 6,152.11

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Solution

The fourth proportional to 8,472.94, 12,713.84 and 6,152.11 is: 9,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.94 : 12,713.84 = 6,152.11 : x
  2. Step 2: Convert to fraction form
    8,472.94/12,713.84 = 6,152.11/x
  3. Step 3: Cross multiply
    8,472.94x = 12,713.84 × 6,152.11
  4. Step 4: Simplify right side
    8,472.94x = 78,216,959.25
  5. Step 5: Solve for x
    x = 78,216,959.25/8,472.94
  6. Step 6: Final answer
    x = 9,231.39

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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.