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Finding the Fourth Proportional to 6,104.16, 9,150.84 and 4,639.68

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Solution

The fourth proportional to 6,104.16, 9,150.84 and 4,639.68 is: 6,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.16 : 9,150.84 = 4,639.68 : x
  2. Step 2: Convert to fraction form
    6,104.16/9,150.84 = 4,639.68/x
  3. Step 3: Cross multiply
    6,104.16x = 9,150.84 × 4,639.68
  4. Step 4: Simplify right side
    6,104.16x = 42,456,969.33
  5. Step 5: Solve for x
    x = 42,456,969.33/6,104.16
  6. Step 6: Final answer
    x = 6,955.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.