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Finding the Fourth Proportional to 8,871.92, 13,307.92 and 2,297.64

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Solution

The fourth proportional to 8,871.92, 13,307.92 and 2,297.64 is: 3,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.92 : 13,307.92 = 2,297.64 : x
  2. Step 2: Convert to fraction form
    8,871.92/13,307.92 = 2,297.64/x
  3. Step 3: Cross multiply
    8,871.92x = 13,307.92 × 2,297.64
  4. Step 4: Simplify right side
    8,871.92x = 30,576,809.31
  5. Step 5: Solve for x
    x = 30,576,809.31/8,871.92
  6. Step 6: Final answer
    x = 3,446.47

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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.