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Finding the Fourth Proportional to 9,883.32, 14,835.42 and 9,660.22

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Solution

The fourth proportional to 9,883.32, 14,835.42 and 9,660.22 is: 14,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.32 : 14,835.42 = 9,660.22 : x
  2. Step 2: Convert to fraction form
    9,883.32/14,835.42 = 9,660.22/x
  3. Step 3: Cross multiply
    9,883.32x = 14,835.42 × 9,660.22
  4. Step 4: Simplify right side
    9,883.32x = 143,313,420.99
  5. Step 5: Solve for x
    x = 143,313,420.99/9,883.32
  6. Step 6: Final answer
    x = 14,500.53

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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.