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Finding the Fourth Proportional to 6,561.57, 9,065.61 and 5,847.15

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Solution

The fourth proportional to 6,561.57, 9,065.61 and 5,847.15 is: 8,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.57 : 9,065.61 = 5,847.15 : x
  2. Step 2: Convert to fraction form
    6,561.57/9,065.61 = 5,847.15/x
  3. Step 3: Cross multiply
    6,561.57x = 9,065.61 × 5,847.15
  4. Step 4: Simplify right side
    6,561.57x = 53,007,981.51
  5. Step 5: Solve for x
    x = 53,007,981.51/6,561.57
  6. Step 6: Final answer
    x = 8,078.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.