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Finding the Fourth Proportional to 8,957.44, 13,436.28 and 3,114.16

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Solution

The fourth proportional to 8,957.44, 13,436.28 and 3,114.16 is: 4,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.44 : 13,436.28 = 3,114.16 : x
  2. Step 2: Convert to fraction form
    8,957.44/13,436.28 = 3,114.16/x
  3. Step 3: Cross multiply
    8,957.44x = 13,436.28 × 3,114.16
  4. Step 4: Simplify right side
    8,957.44x = 41,842,725.72
  5. Step 5: Solve for x
    x = 41,842,725.72/8,957.44
  6. Step 6: Final answer
    x = 4,671.28

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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.