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Finding the Fourth Proportional to 9,846.84, 14,758.98 and 3,918.18

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Solution

The fourth proportional to 9,846.84, 14,758.98 and 3,918.18 is: 5,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.84 : 14,758.98 = 3,918.18 : x
  2. Step 2: Convert to fraction form
    9,846.84/14,758.98 = 3,918.18/x
  3. Step 3: Cross multiply
    9,846.84x = 14,758.98 × 3,918.18
  4. Step 4: Simplify right side
    9,846.84x = 57,828,340.26
  5. Step 5: Solve for x
    x = 57,828,340.26/9,846.84
  6. Step 6: Final answer
    x = 5,872.78

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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.