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Finding the Fourth Proportional to 9,863.98, 13,638.54 and 8,618.98

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Solution

The fourth proportional to 9,863.98, 13,638.54 and 8,618.98 is: 11,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.98 : 13,638.54 = 8,618.98 : x
  2. Step 2: Convert to fraction form
    9,863.98/13,638.54 = 8,618.98/x
  3. Step 3: Cross multiply
    9,863.98x = 13,638.54 × 8,618.98
  4. Step 4: Simplify right side
    9,863.98x = 117,550,303.49
  5. Step 5: Solve for x
    x = 117,550,303.49/9,863.98
  6. Step 6: Final answer
    x = 11,917.13

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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.