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Finding the Fourth Proportional to 9,571.60, 14,337.24 and 4,381.84

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Solution

The fourth proportional to 9,571.60, 14,337.24 and 4,381.84 is: 6,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.60 : 14,337.24 = 4,381.84 : x
  2. Step 2: Convert to fraction form
    9,571.60/14,337.24 = 4,381.84/x
  3. Step 3: Cross multiply
    9,571.60x = 14,337.24 × 4,381.84
  4. Step 4: Simplify right side
    9,571.60x = 62,823,491.72
  5. Step 5: Solve for x
    x = 62,823,491.72/9,571.60
  6. Step 6: Final answer
    x = 6,563.53

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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.