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Finding the Fourth Proportional to 6,972.76, 9,621.18 and 5,114.20

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Solution

The fourth proportional to 6,972.76, 9,621.18 and 5,114.20 is: 7,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.76 : 9,621.18 = 5,114.20 : x
  2. Step 2: Convert to fraction form
    6,972.76/9,621.18 = 5,114.20/x
  3. Step 3: Cross multiply
    6,972.76x = 9,621.18 × 5,114.20
  4. Step 4: Simplify right side
    6,972.76x = 49,204,638.76
  5. Step 5: Solve for x
    x = 49,204,638.76/6,972.76
  6. Step 6: Final answer
    x = 7,056.69

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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.