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Finding the Fourth Proportional to 9,242.74, 13,864.13 and 2,669.46

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Solution

The fourth proportional to 9,242.74, 13,864.13 and 2,669.46 is: 4,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.74 : 13,864.13 = 2,669.46 : x
  2. Step 2: Convert to fraction form
    9,242.74/13,864.13 = 2,669.46/x
  3. Step 3: Cross multiply
    9,242.74x = 13,864.13 × 2,669.46
  4. Step 4: Simplify right side
    9,242.74x = 37,009,685.14
  5. Step 5: Solve for x
    x = 37,009,685.14/9,242.74
  6. Step 6: Final answer
    x = 4,004.19

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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.