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Finding the Fourth Proportional to 6,302.97, 9,454.77 and 4,462.32

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Solution

The fourth proportional to 6,302.97, 9,454.77 and 4,462.32 is: 6,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.97 : 9,454.77 = 4,462.32 : x
  2. Step 2: Convert to fraction form
    6,302.97/9,454.77 = 4,462.32/x
  3. Step 3: Cross multiply
    6,302.97x = 9,454.77 × 4,462.32
  4. Step 4: Simplify right side
    6,302.97x = 42,190,209.27
  5. Step 5: Solve for x
    x = 42,190,209.27/6,302.97
  6. Step 6: Final answer
    x = 6,693.70

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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.