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Finding the Fourth Proportional to 9,229.06, 13,821.27 and 6,458.50

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Solution

The fourth proportional to 9,229.06, 13,821.27 and 6,458.50 is: 9,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.06 : 13,821.27 = 6,458.50 : x
  2. Step 2: Convert to fraction form
    9,229.06/13,821.27 = 6,458.50/x
  3. Step 3: Cross multiply
    9,229.06x = 13,821.27 × 6,458.50
  4. Step 4: Simplify right side
    9,229.06x = 89,264,672.30
  5. Step 5: Solve for x
    x = 89,264,672.30/9,229.06
  6. Step 6: Final answer
    x = 9,672.13

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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.