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Finding the Fourth Proportional to 9,214.32, 12,715.74 and 5,022.57

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Solution

The fourth proportional to 9,214.32, 12,715.74 and 5,022.57 is: 6,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.32 : 12,715.74 = 5,022.57 : x
  2. Step 2: Convert to fraction form
    9,214.32/12,715.74 = 5,022.57/x
  3. Step 3: Cross multiply
    9,214.32x = 12,715.74 × 5,022.57
  4. Step 4: Simplify right side
    9,214.32x = 63,865,694.25
  5. Step 5: Solve for x
    x = 63,865,694.25/9,214.32
  6. Step 6: Final answer
    x = 6,931.13

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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.