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Finding the Fourth Proportional to 9,026.67, 13,535.03 and 2,784.95

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Solution

The fourth proportional to 9,026.67, 13,535.03 and 2,784.95 is: 4,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.67 : 13,535.03 = 2,784.95 : x
  2. Step 2: Convert to fraction form
    9,026.67/13,535.03 = 2,784.95/x
  3. Step 3: Cross multiply
    9,026.67x = 13,535.03 × 2,784.95
  4. Step 4: Simplify right side
    9,026.67x = 37,694,371.84
  5. Step 5: Solve for x
    x = 37,694,371.84/9,026.67
  6. Step 6: Final answer
    x = 4,175.89

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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.