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Finding the Fourth Proportional to 6,285.40, 9,424.68 and 2,533.84

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Solution

The fourth proportional to 6,285.40, 9,424.68 and 2,533.84 is: 3,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.40 : 9,424.68 = 2,533.84 : x
  2. Step 2: Convert to fraction form
    6,285.40/9,424.68 = 2,533.84/x
  3. Step 3: Cross multiply
    6,285.40x = 9,424.68 × 2,533.84
  4. Step 4: Simplify right side
    6,285.40x = 23,880,631.17
  5. Step 5: Solve for x
    x = 23,880,631.17/6,285.40
  6. Step 6: Final answer
    x = 3,799.38

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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.