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Finding the Fourth Proportional to 9,928.51, 13,701.69 and 5,452.38

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Solution

The fourth proportional to 9,928.51, 13,701.69 and 5,452.38 is: 7,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.51 : 13,701.69 = 5,452.38 : x
  2. Step 2: Convert to fraction form
    9,928.51/13,701.69 = 5,452.38/x
  3. Step 3: Cross multiply
    9,928.51x = 13,701.69 × 5,452.38
  4. Step 4: Simplify right side
    9,928.51x = 74,706,820.52
  5. Step 5: Solve for x
    x = 74,706,820.52/9,928.51
  6. Step 6: Final answer
    x = 7,524.48

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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.