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Finding the Fourth Proportional to 6,565.35, 9,853.95 and 4,451.86

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Solution

The fourth proportional to 6,565.35, 9,853.95 and 4,451.86 is: 6,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.35 : 9,853.95 = 4,451.86 : x
  2. Step 2: Convert to fraction form
    6,565.35/9,853.95 = 4,451.86/x
  3. Step 3: Cross multiply
    6,565.35x = 9,853.95 × 4,451.86
  4. Step 4: Simplify right side
    6,565.35x = 43,868,405.85
  5. Step 5: Solve for x
    x = 43,868,405.85/6,565.35
  6. Step 6: Final answer
    x = 6,681.81

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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.