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Finding the Fourth Proportional to 9,269.43, 12,792.70 and 5,290.84

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Solution

The fourth proportional to 9,269.43, 12,792.70 and 5,290.84 is: 7,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.43 : 12,792.70 = 5,290.84 : x
  2. Step 2: Convert to fraction form
    9,269.43/12,792.70 = 5,290.84/x
  3. Step 3: Cross multiply
    9,269.43x = 12,792.70 × 5,290.84
  4. Step 4: Simplify right side
    9,269.43x = 67,684,128.87
  5. Step 5: Solve for x
    x = 67,684,128.87/9,269.43
  6. Step 6: Final answer
    x = 7,301.87

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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.