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Finding the Fourth Proportional to 6,442.12, 9,663.18 and 4,264.66

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Solution

The fourth proportional to 6,442.12, 9,663.18 and 4,264.66 is: 6,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.12 : 9,663.18 = 4,264.66 : x
  2. Step 2: Convert to fraction form
    6,442.12/9,663.18 = 4,264.66/x
  3. Step 3: Cross multiply
    6,442.12x = 9,663.18 × 4,264.66
  4. Step 4: Simplify right side
    6,442.12x = 41,210,177.22
  5. Step 5: Solve for x
    x = 41,210,177.22/6,442.12
  6. Step 6: Final answer
    x = 6,396.99

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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.