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Finding the Fourth Proportional to 9,014.22, 13,505.85 and 8,101.17

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Solution

The fourth proportional to 9,014.22, 13,505.85 and 8,101.17 is: 12,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.22 : 13,505.85 = 8,101.17 : x
  2. Step 2: Convert to fraction form
    9,014.22/13,505.85 = 8,101.17/x
  3. Step 3: Cross multiply
    9,014.22x = 13,505.85 × 8,101.17
  4. Step 4: Simplify right side
    9,014.22x = 109,413,186.84
  5. Step 5: Solve for x
    x = 109,413,186.84/9,014.22
  6. Step 6: Final answer
    x = 12,137.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.