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Finding the Fourth Proportional to 6,470.61, 9,706.52 and 2,311.05

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Solution

The fourth proportional to 6,470.61, 9,706.52 and 2,311.05 is: 3,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.61 : 9,706.52 = 2,311.05 : x
  2. Step 2: Convert to fraction form
    6,470.61/9,706.52 = 2,311.05/x
  3. Step 3: Cross multiply
    6,470.61x = 9,706.52 × 2,311.05
  4. Step 4: Simplify right side
    6,470.61x = 22,432,253.05
  5. Step 5: Solve for x
    x = 22,432,253.05/6,470.61
  6. Step 6: Final answer
    x = 3,466.79

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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.