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Finding the Fourth Proportional to 9,214.39, 12,702.96 and 7,792.36

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Solution

The fourth proportional to 9,214.39, 12,702.96 and 7,792.36 is: 10,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.39 : 12,702.96 = 7,792.36 : x
  2. Step 2: Convert to fraction form
    9,214.39/12,702.96 = 7,792.36/x
  3. Step 3: Cross multiply
    9,214.39x = 12,702.96 × 7,792.36
  4. Step 4: Simplify right side
    9,214.39x = 98,986,037.39
  5. Step 5: Solve for x
    x = 98,986,037.39/9,214.39
  6. Step 6: Final answer
    x = 10,742.55

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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.