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Finding the Fourth Proportional to 6,565.20, 9,847.80 and 3,284.70

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Solution

The fourth proportional to 6,565.20, 9,847.80 and 3,284.70 is: 4,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.20 : 9,847.80 = 3,284.70 : x
  2. Step 2: Convert to fraction form
    6,565.20/9,847.80 = 3,284.70/x
  3. Step 3: Cross multiply
    6,565.20x = 9,847.80 × 3,284.70
  4. Step 4: Simplify right side
    6,565.20x = 32,347,068.66
  5. Step 5: Solve for x
    x = 32,347,068.66/6,565.20
  6. Step 6: Final answer
    x = 4,927.05

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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.