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Finding the Fourth Proportional to 6,411.10, 9,616.23 and 2,031.70

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Solution

The fourth proportional to 6,411.10, 9,616.23 and 2,031.70 is: 3,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.10 : 9,616.23 = 2,031.70 : x
  2. Step 2: Convert to fraction form
    6,411.10/9,616.23 = 2,031.70/x
  3. Step 3: Cross multiply
    6,411.10x = 9,616.23 × 2,031.70
  4. Step 4: Simplify right side
    6,411.10x = 19,537,294.49
  5. Step 5: Solve for x
    x = 19,537,294.49/6,411.10
  6. Step 6: Final answer
    x = 3,047.42

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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.