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Finding the Fourth Proportional to 9,758.79, 14,638.20 and 5,625.81

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Solution

The fourth proportional to 9,758.79, 14,638.20 and 5,625.81 is: 8,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.79 : 14,638.20 = 5,625.81 : x
  2. Step 2: Convert to fraction form
    9,758.79/14,638.20 = 5,625.81/x
  3. Step 3: Cross multiply
    9,758.79x = 14,638.20 × 5,625.81
  4. Step 4: Simplify right side
    9,758.79x = 82,351,731.94
  5. Step 5: Solve for x
    x = 82,351,731.94/9,758.79
  6. Step 6: Final answer
    x = 8,438.72

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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.