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Finding the Fourth Proportional to 10,755.42, 14,808.15 and 9,177.18

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Solution

The fourth proportional to 10,755.42, 14,808.15 and 9,177.18 is: 12,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.42 : 14,808.15 = 9,177.18 : x
  2. Step 2: Convert to fraction form
    10,755.42/14,808.15 = 9,177.18/x
  3. Step 3: Cross multiply
    10,755.42x = 14,808.15 × 9,177.18
  4. Step 4: Simplify right side
    10,755.42x = 135,897,058.02
  5. Step 5: Solve for x
    x = 135,897,058.02/10,755.42
  6. Step 6: Final answer
    x = 12,635.22

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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.