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Finding the Fourth Proportional to 9,758.84, 14,638.30 and 2,363.29

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Solution

The fourth proportional to 9,758.84, 14,638.30 and 2,363.29 is: 3,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.84 : 14,638.30 = 2,363.29 : x
  2. Step 2: Convert to fraction form
    9,758.84/14,638.30 = 2,363.29/x
  3. Step 3: Cross multiply
    9,758.84x = 14,638.30 × 2,363.29
  4. Step 4: Simplify right side
    9,758.84x = 34,594,548.01
  5. Step 5: Solve for x
    x = 34,594,548.01/9,758.84
  6. Step 6: Final answer
    x = 3,544.94

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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.