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Finding the Fourth Proportional to 9,874.12, 13,626.18 and 5,684.68

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Solution

The fourth proportional to 9,874.12, 13,626.18 and 5,684.68 is: 7,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.12 : 13,626.18 = 5,684.68 : x
  2. Step 2: Convert to fraction form
    9,874.12/13,626.18 = 5,684.68/x
  3. Step 3: Cross multiply
    9,874.12x = 13,626.18 × 5,684.68
  4. Step 4: Simplify right side
    9,874.12x = 77,460,472.92
  5. Step 5: Solve for x
    x = 77,460,472.92/9,874.12
  6. Step 6: Final answer
    x = 7,844.80

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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.