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Finding the Fourth Proportional to 6,400.87, 9,605.62 and 2,240.91

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Solution

The fourth proportional to 6,400.87, 9,605.62 and 2,240.91 is: 3,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.87 : 9,605.62 = 2,240.91 : x
  2. Step 2: Convert to fraction form
    6,400.87/9,605.62 = 2,240.91/x
  3. Step 3: Cross multiply
    6,400.87x = 9,605.62 × 2,240.91
  4. Step 4: Simplify right side
    6,400.87x = 21,525,281.89
  5. Step 5: Solve for x
    x = 21,525,281.89/6,400.87
  6. Step 6: Final answer
    x = 3,362.87

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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.