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Finding the Fourth Proportional to 9,091.78, 13,637.84 and 2,851.65

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Solution

The fourth proportional to 9,091.78, 13,637.84 and 2,851.65 is: 4,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.78 : 13,637.84 = 2,851.65 : x
  2. Step 2: Convert to fraction form
    9,091.78/13,637.84 = 2,851.65/x
  3. Step 3: Cross multiply
    9,091.78x = 13,637.84 × 2,851.65
  4. Step 4: Simplify right side
    9,091.78x = 38,890,332.18
  5. Step 5: Solve for x
    x = 38,890,332.18/9,091.78
  6. Step 6: Final answer
    x = 4,277.53

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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.