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Finding the Fourth Proportional to 8,966.52, 13,449.69 and 2,302.98

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Solution

The fourth proportional to 8,966.52, 13,449.69 and 2,302.98 is: 3,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.52 : 13,449.69 = 2,302.98 : x
  2. Step 2: Convert to fraction form
    8,966.52/13,449.69 = 2,302.98/x
  3. Step 3: Cross multiply
    8,966.52x = 13,449.69 × 2,302.98
  4. Step 4: Simplify right side
    8,966.52x = 30,974,367.08
  5. Step 5: Solve for x
    x = 30,974,367.08/8,966.52
  6. Step 6: Final answer
    x = 3,454.45

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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.