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Finding the Fourth Proportional to 7,033.70, 9,704.88 and 4,201.99

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Solution

The fourth proportional to 7,033.70, 9,704.88 and 4,201.99 is: 5,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.70 : 9,704.88 = 4,201.99 : x
  2. Step 2: Convert to fraction form
    7,033.70/9,704.88 = 4,201.99/x
  3. Step 3: Cross multiply
    7,033.70x = 9,704.88 × 4,201.99
  4. Step 4: Simplify right side
    7,033.70x = 40,779,784.45
  5. Step 5: Solve for x
    x = 40,779,784.45/7,033.70
  6. Step 6: Final answer
    x = 5,797.77

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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.