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Finding the Fourth Proportional to 6,492.46, 9,732.74 and 2,107.66

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Solution

The fourth proportional to 6,492.46, 9,732.74 and 2,107.66 is: 3,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.46 : 9,732.74 = 2,107.66 : x
  2. Step 2: Convert to fraction form
    6,492.46/9,732.74 = 2,107.66/x
  3. Step 3: Cross multiply
    6,492.46x = 9,732.74 × 2,107.66
  4. Step 4: Simplify right side
    6,492.46x = 20,513,306.79
  5. Step 5: Solve for x
    x = 20,513,306.79/6,492.46
  6. Step 6: Final answer
    x = 3,159.56

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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.