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Finding the Fourth Proportional to 9,373.24, 14,068.02 and 3,829.60

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Solution

The fourth proportional to 9,373.24, 14,068.02 and 3,829.60 is: 5,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.24 : 14,068.02 = 3,829.60 : x
  2. Step 2: Convert to fraction form
    9,373.24/14,068.02 = 3,829.60/x
  3. Step 3: Cross multiply
    9,373.24x = 14,068.02 × 3,829.60
  4. Step 4: Simplify right side
    9,373.24x = 53,874,889.39
  5. Step 5: Solve for x
    x = 53,874,889.39/9,373.24
  6. Step 6: Final answer
    x = 5,747.73

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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.