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Finding the Fourth Proportional to 9,886.35, 13,647.14 and 5,906.72

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Solution

The fourth proportional to 9,886.35, 13,647.14 and 5,906.72 is: 8,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.35 : 13,647.14 = 5,906.72 : x
  2. Step 2: Convert to fraction form
    9,886.35/13,647.14 = 5,906.72/x
  3. Step 3: Cross multiply
    9,886.35x = 13,647.14 × 5,906.72
  4. Step 4: Simplify right side
    9,886.35x = 80,609,737.01
  5. Step 5: Solve for x
    x = 80,609,737.01/9,886.35
  6. Step 6: Final answer
    x = 8,153.64

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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.