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Finding the Fourth Proportional to 10,077.83, 13,906.45 and 9,334.79

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Solution

The fourth proportional to 10,077.83, 13,906.45 and 9,334.79 is: 12,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.83 : 13,906.45 = 9,334.79 : x
  2. Step 2: Convert to fraction form
    10,077.83/13,906.45 = 9,334.79/x
  3. Step 3: Cross multiply
    10,077.83x = 13,906.45 × 9,334.79
  4. Step 4: Simplify right side
    10,077.83x = 129,813,790.40
  5. Step 5: Solve for x
    x = 129,813,790.40/10,077.83
  6. Step 6: Final answer
    x = 12,881.13

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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.