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Finding the Fourth Proportional to 9,865.32, 13,613.94 and 5,388.90

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Solution

The fourth proportional to 9,865.32, 13,613.94 and 5,388.90 is: 7,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.32 : 13,613.94 = 5,388.90 : x
  2. Step 2: Convert to fraction form
    9,865.32/13,613.94 = 5,388.90/x
  3. Step 3: Cross multiply
    9,865.32x = 13,613.94 × 5,388.90
  4. Step 4: Simplify right side
    9,865.32x = 73,364,161.27
  5. Step 5: Solve for x
    x = 73,364,161.27/9,865.32
  6. Step 6: Final answer
    x = 7,436.57

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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.