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Finding the Fourth Proportional to 6,269.48, 9,405.84 and 3,347

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Solution

The fourth proportional to 6,269.48, 9,405.84 and 3,347 is: 5,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.48 : 9,405.84 = 3,347 : x
  2. Step 2: Convert to fraction form
    6,269.48/9,405.84 = 3,347/x
  3. Step 3: Cross multiply
    6,269.48x = 9,405.84 × 3,347
  4. Step 4: Simplify right side
    6,269.48x = 31,481,346.48
  5. Step 5: Solve for x
    x = 31,481,346.48/6,269.48
  6. Step 6: Final answer
    x = 5,021.36

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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.