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Finding the Fourth Proportional to 8,969.57, 13,456.40 and 2,730.47

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Solution

The fourth proportional to 8,969.57, 13,456.40 and 2,730.47 is: 4,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.57 : 13,456.40 = 2,730.47 : x
  2. Step 2: Convert to fraction form
    8,969.57/13,456.40 = 2,730.47/x
  3. Step 3: Cross multiply
    8,969.57x = 13,456.40 × 2,730.47
  4. Step 4: Simplify right side
    8,969.57x = 36,742,229.23
  5. Step 5: Solve for x
    x = 36,742,229.23/8,969.57
  6. Step 6: Final answer
    x = 4,096.32

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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.