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Finding the Fourth Proportional to 6,293.88, 9,416.20 and 4,542.28

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Solution

The fourth proportional to 6,293.88, 9,416.20 and 4,542.28 is: 6,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.88 : 9,416.20 = 4,542.28 : x
  2. Step 2: Convert to fraction form
    6,293.88/9,416.20 = 4,542.28/x
  3. Step 3: Cross multiply
    6,293.88x = 9,416.20 × 4,542.28
  4. Step 4: Simplify right side
    6,293.88x = 42,771,016.94
  5. Step 5: Solve for x
    x = 42,771,016.94/6,293.88
  6. Step 6: Final answer
    x = 6,795.65

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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.