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Finding the Fourth Proportional to 6,162.96, 9,202.59 and 4,899.36

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Solution

The fourth proportional to 6,162.96, 9,202.59 and 4,899.36 is: 7,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.96 : 9,202.59 = 4,899.36 : x
  2. Step 2: Convert to fraction form
    6,162.96/9,202.59 = 4,899.36/x
  3. Step 3: Cross multiply
    6,162.96x = 9,202.59 × 4,899.36
  4. Step 4: Simplify right side
    6,162.96x = 45,086,801.34
  5. Step 5: Solve for x
    x = 45,086,801.34/6,162.96
  6. Step 6: Final answer
    x = 7,315.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.