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Finding the Fourth Proportional to 7,020.14, 9,686.04 and 4,036.82

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Solution

The fourth proportional to 7,020.14, 9,686.04 and 4,036.82 is: 5,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.14 : 9,686.04 = 4,036.82 : x
  2. Step 2: Convert to fraction form
    7,020.14/9,686.04 = 4,036.82/x
  3. Step 3: Cross multiply
    7,020.14x = 9,686.04 × 4,036.82
  4. Step 4: Simplify right side
    7,020.14x = 39,100,799.99
  5. Step 5: Solve for x
    x = 39,100,799.99/7,020.14
  6. Step 6: Final answer
    x = 5,569.80

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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.