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Finding the Fourth Proportional to 7,234.36, 9,984.49 and 4,582.01

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Solution

The fourth proportional to 7,234.36, 9,984.49 and 4,582.01 is: 6,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.36 : 9,984.49 = 4,582.01 : x
  2. Step 2: Convert to fraction form
    7,234.36/9,984.49 = 4,582.01/x
  3. Step 3: Cross multiply
    7,234.36x = 9,984.49 × 4,582.01
  4. Step 4: Simplify right side
    7,234.36x = 45,749,046.53
  5. Step 5: Solve for x
    x = 45,749,046.53/7,234.36
  6. Step 6: Final answer
    x = 6,323.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.