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Finding the Fourth Proportional to 9,095.93, 13,643.46 and 2,854.97

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Solution

The fourth proportional to 9,095.93, 13,643.46 and 2,854.97 is: 4,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.93 : 13,643.46 = 2,854.97 : x
  2. Step 2: Convert to fraction form
    9,095.93/13,643.46 = 2,854.97/x
  3. Step 3: Cross multiply
    9,095.93x = 13,643.46 × 2,854.97
  4. Step 4: Simplify right side
    9,095.93x = 38,951,600.78
  5. Step 5: Solve for x
    x = 38,951,600.78/9,095.93
  6. Step 6: Final answer
    x = 4,282.31

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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.