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Finding the Fourth Proportional to 6,095.09, 9,141.22 and 1,934.32

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Solution

The fourth proportional to 6,095.09, 9,141.22 and 1,934.32 is: 2,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.09 : 9,141.22 = 1,934.32 : x
  2. Step 2: Convert to fraction form
    6,095.09/9,141.22 = 1,934.32/x
  3. Step 3: Cross multiply
    6,095.09x = 9,141.22 × 1,934.32
  4. Step 4: Simplify right side
    6,095.09x = 17,682,044.67
  5. Step 5: Solve for x
    x = 17,682,044.67/6,095.09
  6. Step 6: Final answer
    x = 2,901.03

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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.