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Finding the Fourth Proportional to 9,405.84, 14,108.76 and 3,858.12

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Solution

The fourth proportional to 9,405.84, 14,108.76 and 3,858.12 is: 5,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.84 : 14,108.76 = 3,858.12 : x
  2. Step 2: Convert to fraction form
    9,405.84/14,108.76 = 3,858.12/x
  3. Step 3: Cross multiply
    9,405.84x = 14,108.76 × 3,858.12
  4. Step 4: Simplify right side
    9,405.84x = 54,433,289.13
  5. Step 5: Solve for x
    x = 54,433,289.13/9,405.84
  6. Step 6: Final answer
    x = 5,787.18

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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.