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Finding the Fourth Proportional to 9,762.94, 14,652.78 and 3,923.56

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Solution

The fourth proportional to 9,762.94, 14,652.78 and 3,923.56 is: 5,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.94 : 14,652.78 = 3,923.56 : x
  2. Step 2: Convert to fraction form
    9,762.94/14,652.78 = 3,923.56/x
  3. Step 3: Cross multiply
    9,762.94x = 14,652.78 × 3,923.56
  4. Step 4: Simplify right side
    9,762.94x = 57,491,061.50
  5. Step 5: Solve for x
    x = 57,491,061.50/9,762.94
  6. Step 6: Final answer
    x = 5,888.70

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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.