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Finding the Fourth Proportional to 9,842.64, 14,764.12 and 3,998

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Solution

The fourth proportional to 9,842.64, 14,764.12 and 3,998 is: 5,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.64 : 14,764.12 = 3,998 : x
  2. Step 2: Convert to fraction form
    9,842.64/14,764.12 = 3,998/x
  3. Step 3: Cross multiply
    9,842.64x = 14,764.12 × 3,998
  4. Step 4: Simplify right side
    9,842.64x = 59,026,951.76
  5. Step 5: Solve for x
    x = 59,026,951.76/9,842.64
  6. Step 6: Final answer
    x = 5,997.06

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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.