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Finding the Fourth Proportional to 9,883.79, 13,616.20 and 6,894.35

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Solution

The fourth proportional to 9,883.79, 13,616.20 and 6,894.35 is: 9,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.79 : 13,616.20 = 6,894.35 : x
  2. Step 2: Convert to fraction form
    9,883.79/13,616.20 = 6,894.35/x
  3. Step 3: Cross multiply
    9,883.79x = 13,616.20 × 6,894.35
  4. Step 4: Simplify right side
    9,883.79x = 93,874,848.47
  5. Step 5: Solve for x
    x = 93,874,848.47/9,883.79
  6. Step 6: Final answer
    x = 9,497.86

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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.