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Finding the Fourth Proportional to 7,219.36, 9,947.46 and 6,424.84

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Solution

The fourth proportional to 7,219.36, 9,947.46 and 6,424.84 is: 8,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.36 : 9,947.46 = 6,424.84 : x
  2. Step 2: Convert to fraction form
    7,219.36/9,947.46 = 6,424.84/x
  3. Step 3: Cross multiply
    7,219.36x = 9,947.46 × 6,424.84
  4. Step 4: Simplify right side
    7,219.36x = 63,910,838.91
  5. Step 5: Solve for x
    x = 63,910,838.91/7,219.36
  6. Step 6: Final answer
    x = 8,852.70

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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.