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Finding the Fourth Proportional to 9,874.01, 13,626.42 and 5,397.95

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Solution

The fourth proportional to 9,874.01, 13,626.42 and 5,397.95 is: 7,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.01 : 13,626.42 = 5,397.95 : x
  2. Step 2: Convert to fraction form
    9,874.01/13,626.42 = 5,397.95/x
  3. Step 3: Cross multiply
    9,874.01x = 13,626.42 × 5,397.95
  4. Step 4: Simplify right side
    9,874.01x = 73,554,733.84
  5. Step 5: Solve for x
    x = 73,554,733.84/9,874.01
  6. Step 6: Final answer
    x = 7,449.33

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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.