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Finding the Fourth Proportional to 9,762.42, 14,640.78 and 5,601.72

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Solution

The fourth proportional to 9,762.42, 14,640.78 and 5,601.72 is: 8,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.42 : 14,640.78 = 5,601.72 : x
  2. Step 2: Convert to fraction form
    9,762.42/14,640.78 = 5,601.72/x
  3. Step 3: Cross multiply
    9,762.42x = 14,640.78 × 5,601.72
  4. Step 4: Simplify right side
    9,762.42x = 82,013,550.14
  5. Step 5: Solve for x
    x = 82,013,550.14/9,762.42
  6. Step 6: Final answer
    x = 8,400.94

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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.