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Finding the Fourth Proportional to 6,565.74, 9,842.32 and 2,180.12

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Solution

The fourth proportional to 6,565.74, 9,842.32 and 2,180.12 is: 3,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.74 : 9,842.32 = 2,180.12 : x
  2. Step 2: Convert to fraction form
    6,565.74/9,842.32 = 2,180.12/x
  3. Step 3: Cross multiply
    6,565.74x = 9,842.32 × 2,180.12
  4. Step 4: Simplify right side
    6,565.74x = 21,457,392.19
  5. Step 5: Solve for x
    x = 21,457,392.19/6,565.74
  6. Step 6: Final answer
    x = 3,268.09

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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.