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Finding the Fourth Proportional to 9,868.63, 13,618.70 and 5,676.88

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Solution

The fourth proportional to 9,868.63, 13,618.70 and 5,676.88 is: 7,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.63 : 13,618.70 = 5,676.88 : x
  2. Step 2: Convert to fraction form
    9,868.63/13,618.70 = 5,676.88/x
  3. Step 3: Cross multiply
    9,868.63x = 13,618.70 × 5,676.88
  4. Step 4: Simplify right side
    9,868.63x = 77,311,725.66
  5. Step 5: Solve for x
    x = 77,311,725.66/9,868.63
  6. Step 6: Final answer
    x = 7,834.09

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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.