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Finding the Fourth Proportional to 6,565.89, 9,849.47 and 2,616.20

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Solution

The fourth proportional to 6,565.89, 9,849.47 and 2,616.20 is: 3,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.89 : 9,849.47 = 2,616.20 : x
  2. Step 2: Convert to fraction form
    6,565.89/9,849.47 = 2,616.20/x
  3. Step 3: Cross multiply
    6,565.89x = 9,849.47 × 2,616.20
  4. Step 4: Simplify right side
    6,565.89x = 25,768,158.02
  5. Step 5: Solve for x
    x = 25,768,158.02/6,565.89
  6. Step 6: Final answer
    x = 3,924.55

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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.