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Finding the Fourth Proportional to 9,386.80, 14,080.17 and 2,461.30

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Solution

The fourth proportional to 9,386.80, 14,080.17 and 2,461.30 is: 3,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.80 : 14,080.17 = 2,461.30 : x
  2. Step 2: Convert to fraction form
    9,386.80/14,080.17 = 2,461.30/x
  3. Step 3: Cross multiply
    9,386.80x = 14,080.17 × 2,461.30
  4. Step 4: Simplify right side
    9,386.80x = 34,655,522.42
  5. Step 5: Solve for x
    x = 34,655,522.42/9,386.80
  6. Step 6: Final answer
    x = 3,691.94

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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.