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Finding the Fourth Proportional to 6,071.28, 9,145.86 and 4,542

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Solution

The fourth proportional to 6,071.28, 9,145.86 and 4,542 is: 6,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.28 : 9,145.86 = 4,542 : x
  2. Step 2: Convert to fraction form
    6,071.28/9,145.86 = 4,542/x
  3. Step 3: Cross multiply
    6,071.28x = 9,145.86 × 4,542
  4. Step 4: Simplify right side
    6,071.28x = 41,540,496.12
  5. Step 5: Solve for x
    x = 41,540,496.12/6,071.28
  6. Step 6: Final answer
    x = 6,842.13

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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.