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Finding the Fourth Proportional to 6,501.41, 9,751.57 and 2,340.65

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Solution

The fourth proportional to 6,501.41, 9,751.57 and 2,340.65 is: 3,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.41 : 9,751.57 = 2,340.65 : x
  2. Step 2: Convert to fraction form
    6,501.41/9,751.57 = 2,340.65/x
  3. Step 3: Cross multiply
    6,501.41x = 9,751.57 × 2,340.65
  4. Step 4: Simplify right side
    6,501.41x = 22,825,012.32
  5. Step 5: Solve for x
    x = 22,825,012.32/6,501.41
  6. Step 6: Final answer
    x = 3,510.78

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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.