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Finding the Fourth Proportional to 7,036.23, 9,710.16 and 3,849.84

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Solution

The fourth proportional to 7,036.23, 9,710.16 and 3,849.84 is: 5,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.23 : 9,710.16 = 3,849.84 : x
  2. Step 2: Convert to fraction form
    7,036.23/9,710.16 = 3,849.84/x
  3. Step 3: Cross multiply
    7,036.23x = 9,710.16 × 3,849.84
  4. Step 4: Simplify right side
    7,036.23x = 37,382,562.37
  5. Step 5: Solve for x
    x = 37,382,562.37/7,036.23
  6. Step 6: Final answer
    x = 5,312.87

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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.