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Finding the Fourth Proportional to 9,732.80, 14,587.02 and 4,179.72

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Solution

The fourth proportional to 9,732.80, 14,587.02 and 4,179.72 is: 6,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.80 : 14,587.02 = 4,179.72 : x
  2. Step 2: Convert to fraction form
    9,732.80/14,587.02 = 4,179.72/x
  3. Step 3: Cross multiply
    9,732.80x = 14,587.02 × 4,179.72
  4. Step 4: Simplify right side
    9,732.80x = 60,969,659.23
  5. Step 5: Solve for x
    x = 60,969,659.23/9,732.80
  6. Step 6: Final answer
    x = 6,264.35

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