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Finding the Fourth Proportional to 6,409.90, 9,616.20 and 2,710.23

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Solution

The fourth proportional to 6,409.90, 9,616.20 and 2,710.23 is: 4,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.90 : 9,616.20 = 2,710.23 : x
  2. Step 2: Convert to fraction form
    6,409.90/9,616.20 = 2,710.23/x
  3. Step 3: Cross multiply
    6,409.90x = 9,616.20 × 2,710.23
  4. Step 4: Simplify right side
    6,409.90x = 26,062,113.73
  5. Step 5: Solve for x
    x = 26,062,113.73/6,409.90
  6. Step 6: Final answer
    x = 4,065.92

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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.