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Finding the Fourth Proportional to 6,220.68, 9,319.17 and 4,827.15

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Solution

The fourth proportional to 6,220.68, 9,319.17 and 4,827.15 is: 7,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.68 : 9,319.17 = 4,827.15 : x
  2. Step 2: Convert to fraction form
    6,220.68/9,319.17 = 4,827.15/x
  3. Step 3: Cross multiply
    6,220.68x = 9,319.17 × 4,827.15
  4. Step 4: Simplify right side
    6,220.68x = 44,985,031.47
  5. Step 5: Solve for x
    x = 44,985,031.47/6,220.68
  6. Step 6: Final answer
    x = 7,231.53

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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.