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Finding the Fourth Proportional to 6,342.85, 9,468.44 and 5,565.25

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Solution

The fourth proportional to 6,342.85, 9,468.44 and 5,565.25 is: 8,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.85 : 9,468.44 = 5,565.25 : x
  2. Step 2: Convert to fraction form
    6,342.85/9,468.44 = 5,565.25/x
  3. Step 3: Cross multiply
    6,342.85x = 9,468.44 × 5,565.25
  4. Step 4: Simplify right side
    6,342.85x = 52,694,235.71
  5. Step 5: Solve for x
    x = 52,694,235.71/6,342.85
  6. Step 6: Final answer
    x = 8,307.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.