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Finding the Fourth Proportional to 9,334.62, 14,006.40 and 5,823.72

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Solution

The fourth proportional to 9,334.62, 14,006.40 and 5,823.72 is: 8,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.62 : 14,006.40 = 5,823.72 : x
  2. Step 2: Convert to fraction form
    9,334.62/14,006.40 = 5,823.72/x
  3. Step 3: Cross multiply
    9,334.62x = 14,006.40 × 5,823.72
  4. Step 4: Simplify right side
    9,334.62x = 81,569,351.81
  5. Step 5: Solve for x
    x = 81,569,351.81/9,334.62
  6. Step 6: Final answer
    x = 8,738.37

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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.