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Finding the Fourth Proportional to 9,207.50, 12,706.40 and 5,015.76

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Solution

The fourth proportional to 9,207.50, 12,706.40 and 5,015.76 is: 6,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.50 : 12,706.40 = 5,015.76 : x
  2. Step 2: Convert to fraction form
    9,207.50/12,706.40 = 5,015.76/x
  3. Step 3: Cross multiply
    9,207.50x = 12,706.40 × 5,015.76
  4. Step 4: Simplify right side
    9,207.50x = 63,732,252.86
  5. Step 5: Solve for x
    x = 63,732,252.86/9,207.50
  6. Step 6: Final answer
    x = 6,921.78

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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.