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Finding the Fourth Proportional to 7,021.84, 9,690.05 and 4,037.68

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Solution

The fourth proportional to 7,021.84, 9,690.05 and 4,037.68 is: 5,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.84 : 9,690.05 = 4,037.68 : x
  2. Step 2: Convert to fraction form
    7,021.84/9,690.05 = 4,037.68/x
  3. Step 3: Cross multiply
    7,021.84x = 9,690.05 × 4,037.68
  4. Step 4: Simplify right side
    7,021.84x = 39,125,321.08
  5. Step 5: Solve for x
    x = 39,125,321.08/7,021.84
  6. Step 6: Final answer
    x = 5,571.95

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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.