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Finding the Fourth Proportional to 9,957.32, 13,739.38 and 5,980.62

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Solution

The fourth proportional to 9,957.32, 13,739.38 and 5,980.62 is: 8,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.32 : 13,739.38 = 5,980.62 : x
  2. Step 2: Convert to fraction form
    9,957.32/13,739.38 = 5,980.62/x
  3. Step 3: Cross multiply
    9,957.32x = 13,739.38 × 5,980.62
  4. Step 4: Simplify right side
    9,957.32x = 82,170,010.82
  5. Step 5: Solve for x
    x = 82,170,010.82/9,957.32
  6. Step 6: Final answer
    x = 8,252.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.