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Finding the Fourth Proportional to 7,020.82, 9,690.39 and 4,038.38

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Solution

The fourth proportional to 7,020.82, 9,690.39 and 4,038.38 is: 5,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.82 : 9,690.39 = 4,038.38 : x
  2. Step 2: Convert to fraction form
    7,020.82/9,690.39 = 4,038.38/x
  3. Step 3: Cross multiply
    7,020.82x = 9,690.39 × 4,038.38
  4. Step 4: Simplify right side
    7,020.82x = 39,133,428.72
  5. Step 5: Solve for x
    x = 39,133,428.72/7,020.82
  6. Step 6: Final answer
    x = 5,573.91

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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.