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Finding the Fourth Proportional to 9,762.92, 14,647.98 and 3,523.40

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Solution

The fourth proportional to 9,762.92, 14,647.98 and 3,523.40 is: 5,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.92 : 14,647.98 = 3,523.40 : x
  2. Step 2: Convert to fraction form
    9,762.92/14,647.98 = 3,523.40/x
  3. Step 3: Cross multiply
    9,762.92x = 14,647.98 × 3,523.40
  4. Step 4: Simplify right side
    9,762.92x = 51,610,692.73
  5. Step 5: Solve for x
    x = 51,610,692.73/9,762.92
  6. Step 6: Final answer
    x = 5,286.40

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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.