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Finding the Fourth Proportional to 6,199.72, 9,288.42 and 6,068.52

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Solution

The fourth proportional to 6,199.72, 9,288.42 and 6,068.52 is: 9,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.72 : 9,288.42 = 6,068.52 : x
  2. Step 2: Convert to fraction form
    6,199.72/9,288.42 = 6,068.52/x
  3. Step 3: Cross multiply
    6,199.72x = 9,288.42 × 6,068.52
  4. Step 4: Simplify right side
    6,199.72x = 56,366,962.54
  5. Step 5: Solve for x
    x = 56,366,962.54/6,199.72
  6. Step 6: Final answer
    x = 9,091.86

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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.