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Finding the Fourth Proportional to 9,774.33, 13,488.24 and 5,793.08

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Solution

The fourth proportional to 9,774.33, 13,488.24 and 5,793.08 is: 7,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.33 : 13,488.24 = 5,793.08 : x
  2. Step 2: Convert to fraction form
    9,774.33/13,488.24 = 5,793.08/x
  3. Step 3: Cross multiply
    9,774.33x = 13,488.24 × 5,793.08
  4. Step 4: Simplify right side
    9,774.33x = 78,138,453.38
  5. Step 5: Solve for x
    x = 78,138,453.38/9,774.33
  6. Step 6: Final answer
    x = 7,994.25

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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.