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Finding the Fourth Proportional to 9,448.83, 13,040.17 and 5,200.69

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Solution

The fourth proportional to 9,448.83, 13,040.17 and 5,200.69 is: 7,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.83 : 13,040.17 = 5,200.69 : x
  2. Step 2: Convert to fraction form
    9,448.83/13,040.17 = 5,200.69/x
  3. Step 3: Cross multiply
    9,448.83x = 13,040.17 × 5,200.69
  4. Step 4: Simplify right side
    9,448.83x = 67,817,889.82
  5. Step 5: Solve for x
    x = 67,817,889.82/9,448.83
  6. Step 6: Final answer
    x = 7,177.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.