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Finding the Fourth Proportional to 8,867.14, 12,147.93 and 8,534.77

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Solution

The fourth proportional to 8,867.14, 12,147.93 and 8,534.77 is: 11,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,867.14 : 12,147.93 = 8,534.77 : x
  2. Step 2: Convert to fraction form
    8,867.14/12,147.93 = 8,534.77/x
  3. Step 3: Cross multiply
    8,867.14x = 12,147.93 × 8,534.77
  4. Step 4: Simplify right side
    8,867.14x = 103,679,685.11
  5. Step 5: Solve for x
    x = 103,679,685.11/8,867.14
  6. Step 6: Final answer
    x = 11,692.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.