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Finding the Fourth Proportional to 9,778.32, 14,650.47 and 6,083.20

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Solution

The fourth proportional to 9,778.32, 14,650.47 and 6,083.20 is: 9,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 14,650.47 = 6,083.20 : x
  2. Step 2: Convert to fraction form
    9,778.32/14,650.47 = 6,083.20/x
  3. Step 3: Cross multiply
    9,778.32x = 14,650.47 × 6,083.20
  4. Step 4: Simplify right side
    9,778.32x = 89,121,757.42
  5. Step 5: Solve for x
    x = 89,121,757.42/9,778.32
  6. Step 6: Final answer
    x = 9,114.22

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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.