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Finding the Fourth Proportional to 9,474.78, 13,078.06 and 5,496.86

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Solution

The fourth proportional to 9,474.78, 13,078.06 and 5,496.86 is: 7,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.78 : 13,078.06 = 5,496.86 : x
  2. Step 2: Convert to fraction form
    9,474.78/13,078.06 = 5,496.86/x
  3. Step 3: Cross multiply
    9,474.78x = 13,078.06 × 5,496.86
  4. Step 4: Simplify right side
    9,474.78x = 71,888,264.89
  5. Step 5: Solve for x
    x = 71,888,264.89/9,474.78
  6. Step 6: Final answer
    x = 7,587.33

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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.