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Finding the Fourth Proportional to 6,101.28, 9,206.88 and 5,884.32

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Solution

The fourth proportional to 6,101.28, 9,206.88 and 5,884.32 is: 8,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.28 : 9,206.88 = 5,884.32 : x
  2. Step 2: Convert to fraction form
    6,101.28/9,206.88 = 5,884.32/x
  3. Step 3: Cross multiply
    6,101.28x = 9,206.88 × 5,884.32
  4. Step 4: Simplify right side
    6,101.28x = 54,176,228.12
  5. Step 5: Solve for x
    x = 54,176,228.12/6,101.28
  6. Step 6: Final answer
    x = 8,879.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.