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Finding the Fourth Proportional to 7,031.69, 9,703.42 and 3,844.90

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Solution

The fourth proportional to 7,031.69, 9,703.42 and 3,844.90 is: 5,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.69 : 9,703.42 = 3,844.90 : x
  2. Step 2: Convert to fraction form
    7,031.69/9,703.42 = 3,844.90/x
  3. Step 3: Cross multiply
    7,031.69x = 9,703.42 × 3,844.90
  4. Step 4: Simplify right side
    7,031.69x = 37,308,645.69
  5. Step 5: Solve for x
    x = 37,308,645.69/7,031.69
  6. Step 6: Final answer
    x = 5,305.79

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