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Finding the Fourth Proportional to 9,214.10, 12,715.98 and 6,972.08

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Solution

The fourth proportional to 9,214.10, 12,715.98 and 6,972.08 is: 9,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.10 : 12,715.98 = 6,972.08 : x
  2. Step 2: Convert to fraction form
    9,214.10/12,715.98 = 6,972.08/x
  3. Step 3: Cross multiply
    9,214.10x = 12,715.98 × 6,972.08
  4. Step 4: Simplify right side
    9,214.10x = 88,656,794.98
  5. Step 5: Solve for x
    x = 88,656,794.98/9,214.10
  6. Step 6: Final answer
    x = 9,621.87

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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.