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Finding the Fourth Proportional to 6,566.87, 9,848.96 and 2,405.77

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Solution

The fourth proportional to 6,566.87, 9,848.96 and 2,405.77 is: 3,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.87 : 9,848.96 = 2,405.77 : x
  2. Step 2: Convert to fraction form
    6,566.87/9,848.96 = 2,405.77/x
  3. Step 3: Cross multiply
    6,566.87x = 9,848.96 × 2,405.77
  4. Step 4: Simplify right side
    6,566.87x = 23,694,304.87
  5. Step 5: Solve for x
    x = 23,694,304.87/6,566.87
  6. Step 6: Final answer
    x = 3,608.16

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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.