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Finding the Fourth Proportional to 6,070.62, 9,105.93 and 5,709.90

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Solution

The fourth proportional to 6,070.62, 9,105.93 and 5,709.90 is: 8,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.62 : 9,105.93 = 5,709.90 : x
  2. Step 2: Convert to fraction form
    6,070.62/9,105.93 = 5,709.90/x
  3. Step 3: Cross multiply
    6,070.62x = 9,105.93 × 5,709.90
  4. Step 4: Simplify right side
    6,070.62x = 51,993,949.71
  5. Step 5: Solve for x
    x = 51,993,949.71/6,070.62
  6. Step 6: Final answer
    x = 8,564.85

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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.