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Finding the Fourth Proportional to 12,402.89, 17,116.01 and 6,737.66

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Solution

The fourth proportional to 12,402.89, 17,116.01 and 6,737.66 is: 9,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.89 : 17,116.01 = 6,737.66 : x
  2. Step 2: Convert to fraction form
    12,402.89/17,116.01 = 6,737.66/x
  3. Step 3: Cross multiply
    12,402.89x = 17,116.01 × 6,737.66
  4. Step 4: Simplify right side
    12,402.89x = 115,321,855.94
  5. Step 5: Solve for x
    x = 115,321,855.94/12,402.89
  6. Step 6: Final answer
    x = 9,297.98

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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.