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Finding the Fourth Proportional to 6,069.48, 9,102.02 and 2,119.63

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Solution

The fourth proportional to 6,069.48, 9,102.02 and 2,119.63 is: 3,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.48 : 9,102.02 = 2,119.63 : x
  2. Step 2: Convert to fraction form
    6,069.48/9,102.02 = 2,119.63/x
  3. Step 3: Cross multiply
    6,069.48x = 9,102.02 × 2,119.63
  4. Step 4: Simplify right side
    6,069.48x = 19,292,948.40
  5. Step 5: Solve for x
    x = 19,292,948.40/6,069.48
  6. Step 6: Final answer
    x = 3,178.68

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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.