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Finding the Fourth Proportional to 7,021.65, 9,691.74 and 4,037.82

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Solution

The fourth proportional to 7,021.65, 9,691.74 and 4,037.82 is: 5,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.65 : 9,691.74 = 4,037.82 : x
  2. Step 2: Convert to fraction form
    7,021.65/9,691.74 = 4,037.82/x
  3. Step 3: Cross multiply
    7,021.65x = 9,691.74 × 4,037.82
  4. Step 4: Simplify right side
    7,021.65x = 39,133,501.61
  5. Step 5: Solve for x
    x = 39,133,501.61/7,021.65
  6. Step 6: Final answer
    x = 5,573.26

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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.