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Finding the Fourth Proportional to 9,813.93, 13,542.51 and 5,565.07

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Solution

The fourth proportional to 9,813.93, 13,542.51 and 5,565.07 is: 7,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.93 : 13,542.51 = 5,565.07 : x
  2. Step 2: Convert to fraction form
    9,813.93/13,542.51 = 5,565.07/x
  3. Step 3: Cross multiply
    9,813.93x = 13,542.51 × 5,565.07
  4. Step 4: Simplify right side
    9,813.93x = 75,365,016.13
  5. Step 5: Solve for x
    x = 75,365,016.13/9,813.93
  6. Step 6: Final answer
    x = 7,679.39

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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.