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Finding the Fourth Proportional to 8,957.35, 13,436.43 and 3,114.01

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Solution

The fourth proportional to 8,957.35, 13,436.43 and 3,114.01 is: 4,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.35 : 13,436.43 = 3,114.01 : x
  2. Step 2: Convert to fraction form
    8,957.35/13,436.43 = 3,114.01/x
  3. Step 3: Cross multiply
    8,957.35x = 13,436.43 × 3,114.01
  4. Step 4: Simplify right side
    8,957.35x = 41,841,177.38
  5. Step 5: Solve for x
    x = 41,841,177.38/8,957.35
  6. Step 6: Final answer
    x = 4,671.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.