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Finding the Fourth Proportional to 6,442.39, 9,655.01 and 4,218.40

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Solution

The fourth proportional to 6,442.39, 9,655.01 and 4,218.40 is: 6,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.39 : 9,655.01 = 4,218.40 : x
  2. Step 2: Convert to fraction form
    6,442.39/9,655.01 = 4,218.40/x
  3. Step 3: Cross multiply
    6,442.39x = 9,655.01 × 4,218.40
  4. Step 4: Simplify right side
    6,442.39x = 40,728,624.82
  5. Step 5: Solve for x
    x = 40,728,624.82/6,442.39
  6. Step 6: Final answer
    x = 6,321.98

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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.