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Finding the Fourth Proportional to 9,957.48, 14,936.98 and 2,562.01

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Solution

The fourth proportional to 9,957.48, 14,936.98 and 2,562.01 is: 3,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.48 : 14,936.98 = 2,562.01 : x
  2. Step 2: Convert to fraction form
    9,957.48/14,936.98 = 2,562.01/x
  3. Step 3: Cross multiply
    9,957.48x = 14,936.98 × 2,562.01
  4. Step 4: Simplify right side
    9,957.48x = 38,268,617.44
  5. Step 5: Solve for x
    x = 38,268,617.44/9,957.48
  6. Step 6: Final answer
    x = 3,843.20

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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.