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Finding the Fourth Proportional to 7,037.93, 9,710.73 and 4,204.85

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Solution

The fourth proportional to 7,037.93, 9,710.73 and 4,204.85 is: 5,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.93 : 9,710.73 = 4,204.85 : x
  2. Step 2: Convert to fraction form
    7,037.93/9,710.73 = 4,204.85/x
  3. Step 3: Cross multiply
    7,037.93x = 9,710.73 × 4,204.85
  4. Step 4: Simplify right side
    7,037.93x = 40,832,114.49
  5. Step 5: Solve for x
    x = 40,832,114.49/7,037.93
  6. Step 6: Final answer
    x = 5,801.73

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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.