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Finding the Fourth Proportional to 9,452.78, 13,023 and 6,795.59

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Solution

The fourth proportional to 9,452.78, 13,023 and 6,795.59 is: 9,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.78 : 13,023 = 6,795.59 : x
  2. Step 2: Convert to fraction form
    9,452.78/13,023 = 6,795.59/x
  3. Step 3: Cross multiply
    9,452.78x = 13,023 × 6,795.59
  4. Step 4: Simplify right side
    9,452.78x = 88,498,968.57
  5. Step 5: Solve for x
    x = 88,498,968.57/9,452.78
  6. Step 6: Final answer
    x = 9,362.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.