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Finding the Fourth Proportional to 9,381.33, 14,062.68 and 5,223.24

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Solution

The fourth proportional to 9,381.33, 14,062.68 and 5,223.24 is: 7,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.33 : 14,062.68 = 5,223.24 : x
  2. Step 2: Convert to fraction form
    9,381.33/14,062.68 = 5,223.24/x
  3. Step 3: Cross multiply
    9,381.33x = 14,062.68 × 5,223.24
  4. Step 4: Simplify right side
    9,381.33x = 73,452,752.68
  5. Step 5: Solve for x
    x = 73,452,752.68/9,381.33
  6. Step 6: Final answer
    x = 7,829.67

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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.