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Finding the Fourth Proportional to 9,343.76, 14,016.44 and 3,102.44

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Solution

The fourth proportional to 9,343.76, 14,016.44 and 3,102.44 is: 4,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.76 : 14,016.44 = 3,102.44 : x
  2. Step 2: Convert to fraction form
    9,343.76/14,016.44 = 3,102.44/x
  3. Step 3: Cross multiply
    9,343.76x = 14,016.44 × 3,102.44
  4. Step 4: Simplify right side
    9,343.76x = 43,485,164.11
  5. Step 5: Solve for x
    x = 43,485,164.11/9,343.76
  6. Step 6: Final answer
    x = 4,653.93

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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.