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Finding the Fourth Proportional to 7,235.97, 9,984.02 and 4,404.81

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Solution

The fourth proportional to 7,235.97, 9,984.02 and 4,404.81 is: 6,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.97 : 9,984.02 = 4,404.81 : x
  2. Step 2: Convert to fraction form
    7,235.97/9,984.02 = 4,404.81/x
  3. Step 3: Cross multiply
    7,235.97x = 9,984.02 × 4,404.81
  4. Step 4: Simplify right side
    7,235.97x = 43,977,711.14
  5. Step 5: Solve for x
    x = 43,977,711.14/7,235.97
  6. Step 6: Final answer
    x = 6,077.65

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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.