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Finding the Fourth Proportional to 9,883.68, 13,616.38 and 6,894.18

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Solution

The fourth proportional to 9,883.68, 13,616.38 and 6,894.18 is: 9,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.68 : 13,616.38 = 6,894.18 : x
  2. Step 2: Convert to fraction form
    9,883.68/13,616.38 = 6,894.18/x
  3. Step 3: Cross multiply
    9,883.68x = 13,616.38 × 6,894.18
  4. Step 4: Simplify right side
    9,883.68x = 93,873,774.67
  5. Step 5: Solve for x
    x = 93,873,774.67/9,883.68
  6. Step 6: Final answer
    x = 9,497.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.