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Finding the Fourth Proportional to 7,036.05, 9,710.01 and 3,849.57

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Solution

The fourth proportional to 7,036.05, 9,710.01 and 3,849.57 is: 5,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.05 : 9,710.01 = 3,849.57 : x
  2. Step 2: Convert to fraction form
    7,036.05/9,710.01 = 3,849.57/x
  3. Step 3: Cross multiply
    7,036.05x = 9,710.01 × 3,849.57
  4. Step 4: Simplify right side
    7,036.05x = 37,379,363.20
  5. Step 5: Solve for x
    x = 37,379,363.20/7,036.05
  6. Step 6: Final answer
    x = 5,312.55

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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.