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Finding the Fourth Proportional to 9,111.25, 13,659.54 and 3,920.77

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Solution

The fourth proportional to 9,111.25, 13,659.54 and 3,920.77 is: 5,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.25 : 13,659.54 = 3,920.77 : x
  2. Step 2: Convert to fraction form
    9,111.25/13,659.54 = 3,920.77/x
  3. Step 3: Cross multiply
    9,111.25x = 13,659.54 × 3,920.77
  4. Step 4: Simplify right side
    9,111.25x = 53,555,914.65
  5. Step 5: Solve for x
    x = 53,555,914.65/9,111.25
  6. Step 6: Final answer
    x = 5,878.00

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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.