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Finding the Fourth Proportional to 6,070.48, 9,096.27 and 3,844.62

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Solution

The fourth proportional to 6,070.48, 9,096.27 and 3,844.62 is: 5,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.48 : 9,096.27 = 3,844.62 : x
  2. Step 2: Convert to fraction form
    6,070.48/9,096.27 = 3,844.62/x
  3. Step 3: Cross multiply
    6,070.48x = 9,096.27 × 3,844.62
  4. Step 4: Simplify right side
    6,070.48x = 34,971,701.57
  5. Step 5: Solve for x
    x = 34,971,701.57/6,070.48
  6. Step 6: Final answer
    x = 5,760.94

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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.