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Finding the Fourth Proportional to 9,854.27, 13,599.02 and 5,877.68

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Solution

The fourth proportional to 9,854.27, 13,599.02 and 5,877.68 is: 8,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.27 : 13,599.02 = 5,877.68 : x
  2. Step 2: Convert to fraction form
    9,854.27/13,599.02 = 5,877.68/x
  3. Step 3: Cross multiply
    9,854.27x = 13,599.02 × 5,877.68
  4. Step 4: Simplify right side
    9,854.27x = 79,930,736.57
  5. Step 5: Solve for x
    x = 79,930,736.57/9,854.27
  6. Step 6: Final answer
    x = 8,111.28

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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.