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Finding the Fourth Proportional to 6,105.87, 9,159.32 and 1,946.47

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Solution

The fourth proportional to 6,105.87, 9,159.32 and 1,946.47 is: 2,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.87 : 9,159.32 = 1,946.47 : x
  2. Step 2: Convert to fraction form
    6,105.87/9,159.32 = 1,946.47/x
  3. Step 3: Cross multiply
    6,105.87x = 9,159.32 × 1,946.47
  4. Step 4: Simplify right side
    6,105.87x = 17,828,314.18
  5. Step 5: Solve for x
    x = 17,828,314.18/6,105.87
  6. Step 6: Final answer
    x = 2,919.87

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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.