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Finding the Fourth Proportional to 6,191.65, 9,275.07 and 3,725.09

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Solution

The fourth proportional to 6,191.65, 9,275.07 and 3,725.09 is: 5,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.65 : 9,275.07 = 3,725.09 : x
  2. Step 2: Convert to fraction form
    6,191.65/9,275.07 = 3,725.09/x
  3. Step 3: Cross multiply
    6,191.65x = 9,275.07 × 3,725.09
  4. Step 4: Simplify right side
    6,191.65x = 34,550,470.51
  5. Step 5: Solve for x
    x = 34,550,470.51/6,191.65
  6. Step 6: Final answer
    x = 5,580.17

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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.