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Finding the Fourth Proportional to 9,342.47, 14,019.78 and 3,499.03

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Solution

The fourth proportional to 9,342.47, 14,019.78 and 3,499.03 is: 5,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.47 : 14,019.78 = 3,499.03 : x
  2. Step 2: Convert to fraction form
    9,342.47/14,019.78 = 3,499.03/x
  3. Step 3: Cross multiply
    9,342.47x = 14,019.78 × 3,499.03
  4. Step 4: Simplify right side
    9,342.47x = 49,055,661.46
  5. Step 5: Solve for x
    x = 49,055,661.46/9,342.47
  6. Step 6: Final answer
    x = 5,250.82

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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.