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Finding the Fourth Proportional to 8,730.96, 13,097.52 and 2,891.40

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Solution

The fourth proportional to 8,730.96, 13,097.52 and 2,891.40 is: 4,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.96 : 13,097.52 = 2,891.40 : x
  2. Step 2: Convert to fraction form
    8,730.96/13,097.52 = 2,891.40/x
  3. Step 3: Cross multiply
    8,730.96x = 13,097.52 × 2,891.40
  4. Step 4: Simplify right side
    8,730.96x = 37,870,169.33
  5. Step 5: Solve for x
    x = 37,870,169.33/8,730.96
  6. Step 6: Final answer
    x = 4,337.46

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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.