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Finding the Fourth Proportional to 6,102.73, 8,419.26 and 4,113.93

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Solution

The fourth proportional to 6,102.73, 8,419.26 and 4,113.93 is: 5,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.73 : 8,419.26 = 4,113.93 : x
  2. Step 2: Convert to fraction form
    6,102.73/8,419.26 = 4,113.93/x
  3. Step 3: Cross multiply
    6,102.73x = 8,419.26 × 4,113.93
  4. Step 4: Simplify right side
    6,102.73x = 34,636,246.29
  5. Step 5: Solve for x
    x = 34,636,246.29/6,102.73
  6. Step 6: Final answer
    x = 5,675.53

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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.