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Finding the Fourth Proportional to 9,954.70, 14,932.05 and 6,844.30

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Solution

The fourth proportional to 9,954.70, 14,932.05 and 6,844.30 is: 10,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.70 : 14,932.05 = 6,844.30 : x
  2. Step 2: Convert to fraction form
    9,954.70/14,932.05 = 6,844.30/x
  3. Step 3: Cross multiply
    9,954.70x = 14,932.05 × 6,844.30
  4. Step 4: Simplify right side
    9,954.70x = 102,199,429.82
  5. Step 5: Solve for x
    x = 102,199,429.82/9,954.70
  6. Step 6: Final answer
    x = 10,266.45

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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.