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Finding the Fourth Proportional to 6,340.62, 9,510.86 and 1,723.62

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Solution

The fourth proportional to 6,340.62, 9,510.86 and 1,723.62 is: 2,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.62 : 9,510.86 = 1,723.62 : x
  2. Step 2: Convert to fraction form
    6,340.62/9,510.86 = 1,723.62/x
  3. Step 3: Cross multiply
    6,340.62x = 9,510.86 × 1,723.62
  4. Step 4: Simplify right side
    6,340.62x = 16,393,108.51
  5. Step 5: Solve for x
    x = 16,393,108.51/6,340.62
  6. Step 6: Final answer
    x = 2,585.41

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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.