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Finding the Fourth Proportional to 6,417.90, 8,854.11 and 4,062.42

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Solution

The fourth proportional to 6,417.90, 8,854.11 and 4,062.42 is: 5,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.90 : 8,854.11 = 4,062.42 : x
  2. Step 2: Convert to fraction form
    6,417.90/8,854.11 = 4,062.42/x
  3. Step 3: Cross multiply
    6,417.90x = 8,854.11 × 4,062.42
  4. Step 4: Simplify right side
    6,417.90x = 35,969,113.55
  5. Step 5: Solve for x
    x = 35,969,113.55/6,417.90
  6. Step 6: Final answer
    x = 5,604.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.