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Finding the Fourth Proportional to 7,037.37, 9,700.38 and 5,542.92

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Solution

The fourth proportional to 7,037.37, 9,700.38 and 5,542.92 is: 7,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.37 : 9,700.38 = 5,542.92 : x
  2. Step 2: Convert to fraction form
    7,037.37/9,700.38 = 5,542.92/x
  3. Step 3: Cross multiply
    7,037.37x = 9,700.38 × 5,542.92
  4. Step 4: Simplify right side
    7,037.37x = 53,768,430.31
  5. Step 5: Solve for x
    x = 53,768,430.31/7,037.37
  6. Step 6: Final answer
    x = 7,640.42

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Why These Related Problems?

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