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Finding the Fourth Proportional to 9,904.80, 13,668.12 and 5,427.75

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Solution

The fourth proportional to 9,904.80, 13,668.12 and 5,427.75 is: 7,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.80 : 13,668.12 = 5,427.75 : x
  2. Step 2: Convert to fraction form
    9,904.80/13,668.12 = 5,427.75/x
  3. Step 3: Cross multiply
    9,904.80x = 13,668.12 × 5,427.75
  4. Step 4: Simplify right side
    9,904.80x = 74,187,138.33
  5. Step 5: Solve for x
    x = 74,187,138.33/9,904.80
  6. Step 6: Final answer
    x = 7,490.02

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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.