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Finding the Fourth Proportional to 6,098.13, 9,162.63 and 5,852.12

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Solution

The fourth proportional to 6,098.13, 9,162.63 and 5,852.12 is: 8,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.13 : 9,162.63 = 5,852.12 : x
  2. Step 2: Convert to fraction form
    6,098.13/9,162.63 = 5,852.12/x
  3. Step 3: Cross multiply
    6,098.13x = 9,162.63 × 5,852.12
  4. Step 4: Simplify right side
    6,098.13x = 53,620,764.46
  5. Step 5: Solve for x
    x = 53,620,764.46/6,098.13
  6. Step 6: Final answer
    x = 8,792.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.