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Finding the Fourth Proportional to 9,248.41, 13,878.69 and 3,405.07

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Solution

The fourth proportional to 9,248.41, 13,878.69 and 3,405.07 is: 5,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.41 : 13,878.69 = 3,405.07 : x
  2. Step 2: Convert to fraction form
    9,248.41/13,878.69 = 3,405.07/x
  3. Step 3: Cross multiply
    9,248.41x = 13,878.69 × 3,405.07
  4. Step 4: Simplify right side
    9,248.41x = 47,257,910.96
  5. Step 5: Solve for x
    x = 47,257,910.96/9,248.41
  6. Step 6: Final answer
    x = 5,109.84

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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.