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Finding the Fourth Proportional to 6,019.60, 9,032.08 and 3,827.76

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Solution

The fourth proportional to 6,019.60, 9,032.08 and 3,827.76 is: 5,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.60 : 9,032.08 = 3,827.76 : x
  2. Step 2: Convert to fraction form
    6,019.60/9,032.08 = 3,827.76/x
  3. Step 3: Cross multiply
    6,019.60x = 9,032.08 × 3,827.76
  4. Step 4: Simplify right side
    6,019.60x = 34,572,634.54
  5. Step 5: Solve for x
    x = 34,572,634.54/6,019.60
  6. Step 6: Final answer
    x = 5,743.34

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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.