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Finding the Fourth Proportional to 6,442.83, 9,663.71 and 3,321.15

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Solution

The fourth proportional to 6,442.83, 9,663.71 and 3,321.15 is: 4,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.83 : 9,663.71 = 3,321.15 : x
  2. Step 2: Convert to fraction form
    6,442.83/9,663.71 = 3,321.15/x
  3. Step 3: Cross multiply
    6,442.83x = 9,663.71 × 3,321.15
  4. Step 4: Simplify right side
    6,442.83x = 32,094,613.86
  5. Step 5: Solve for x
    x = 32,094,613.86/6,442.83
  6. Step 6: Final answer
    x = 4,981.45

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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.