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Finding the Fourth Proportional to 6,844.70, 9,444.96 and 5,053.12

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Solution

The fourth proportional to 6,844.70, 9,444.96 and 5,053.12 is: 6,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.70 : 9,444.96 = 5,053.12 : x
  2. Step 2: Convert to fraction form
    6,844.70/9,444.96 = 5,053.12/x
  3. Step 3: Cross multiply
    6,844.70x = 9,444.96 × 5,053.12
  4. Step 4: Simplify right side
    6,844.70x = 47,726,516.28
  5. Step 5: Solve for x
    x = 47,726,516.28/6,844.70
  6. Step 6: Final answer
    x = 6,972.77

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