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Finding the Fourth Proportional to 6,439.77, 9,657.23 and 2,739.69

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Solution

The fourth proportional to 6,439.77, 9,657.23 and 2,739.69 is: 4,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.77 : 9,657.23 = 2,739.69 : x
  2. Step 2: Convert to fraction form
    6,439.77/9,657.23 = 2,739.69/x
  3. Step 3: Cross multiply
    6,439.77x = 9,657.23 × 2,739.69
  4. Step 4: Simplify right side
    6,439.77x = 26,457,802.76
  5. Step 5: Solve for x
    x = 26,457,802.76/6,439.77
  6. Step 6: Final answer
    x = 4,108.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.