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Finding the Fourth Proportional to 7,037.08, 9,709.68 and 4,203.70

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Solution

The fourth proportional to 7,037.08, 9,709.68 and 4,203.70 is: 5,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.08 : 9,709.68 = 4,203.70 : x
  2. Step 2: Convert to fraction form
    7,037.08/9,709.68 = 4,203.70/x
  3. Step 3: Cross multiply
    7,037.08x = 9,709.68 × 4,203.70
  4. Step 4: Simplify right side
    7,037.08x = 40,816,581.82
  5. Step 5: Solve for x
    x = 40,816,581.82/7,037.08
  6. Step 6: Final answer
    x = 5,800.22

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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.