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Finding the Fourth Proportional to 6,105.70, 9,146.72 and 3,465.22

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Solution

The fourth proportional to 6,105.70, 9,146.72 and 3,465.22 is: 5,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.70 : 9,146.72 = 3,465.22 : x
  2. Step 2: Convert to fraction form
    6,105.70/9,146.72 = 3,465.22/x
  3. Step 3: Cross multiply
    6,105.70x = 9,146.72 × 3,465.22
  4. Step 4: Simplify right side
    6,105.70x = 31,695,405.74
  5. Step 5: Solve for x
    x = 31,695,405.74/6,105.70
  6. Step 6: Final answer
    x = 5,191.12

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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.