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Finding the Fourth Proportional to 9,206.46, 12,704.85 and 5,014.71

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Solution

The fourth proportional to 9,206.46, 12,704.85 and 5,014.71 is: 6,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.46 : 12,704.85 = 5,014.71 : x
  2. Step 2: Convert to fraction form
    9,206.46/12,704.85 = 5,014.71/x
  3. Step 3: Cross multiply
    9,206.46x = 12,704.85 × 5,014.71
  4. Step 4: Simplify right side
    9,206.46x = 63,711,138.34
  5. Step 5: Solve for x
    x = 63,711,138.34/9,206.46
  6. Step 6: Final answer
    x = 6,920.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.