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Finding the Fourth Proportional to 6,411.30, 9,610.37 and 2,461.49

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Solution

The fourth proportional to 6,411.30, 9,610.37 and 2,461.49 is: 3,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.30 : 9,610.37 = 2,461.49 : x
  2. Step 2: Convert to fraction form
    6,411.30/9,610.37 = 2,461.49/x
  3. Step 3: Cross multiply
    6,411.30x = 9,610.37 × 2,461.49
  4. Step 4: Simplify right side
    6,411.30x = 23,655,829.65
  5. Step 5: Solve for x
    x = 23,655,829.65/6,411.30
  6. Step 6: Final answer
    x = 3,689.71

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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.