Home / 9,757.08-13,462.38-5,778

Finding the Fourth Proportional to 9,757.08, 13,462.38 and 5,778

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Solution

The fourth proportional to 9,757.08, 13,462.38 and 5,778 is: 7,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.08 : 13,462.38 = 5,778 : x
  2. Step 2: Convert to fraction form
    9,757.08/13,462.38 = 5,778/x
  3. Step 3: Cross multiply
    9,757.08x = 13,462.38 × 5,778
  4. Step 4: Simplify right side
    9,757.08x = 77,785,631.64
  5. Step 5: Solve for x
    x = 77,785,631.64/9,757.08
  6. Step 6: Final answer
    x = 7,972.22

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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.