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Finding the Fourth Proportional to 6,114.74, 9,169.78 and 2,602.53

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Solution

The fourth proportional to 6,114.74, 9,169.78 and 2,602.53 is: 3,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.74 : 9,169.78 = 2,602.53 : x
  2. Step 2: Convert to fraction form
    6,114.74/9,169.78 = 2,602.53/x
  3. Step 3: Cross multiply
    6,114.74x = 9,169.78 × 2,602.53
  4. Step 4: Simplify right side
    6,114.74x = 23,864,598.11
  5. Step 5: Solve for x
    x = 23,864,598.11/6,114.74
  6. Step 6: Final answer
    x = 3,902.80

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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.