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Finding the Fourth Proportional to 9,837, 13,575.63 and 5,645.52

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Solution

The fourth proportional to 9,837, 13,575.63 and 5,645.52 is: 7,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837 : 13,575.63 = 5,645.52 : x
  2. Step 2: Convert to fraction form
    9,837/13,575.63 = 5,645.52/x
  3. Step 3: Cross multiply
    9,837x = 13,575.63 × 5,645.52
  4. Step 4: Simplify right side
    9,837x = 76,641,490.68
  5. Step 5: Solve for x
    x = 76,641,490.68/9,837
  6. Step 6: Final answer
    x = 7,791.14

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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.