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Finding the Fourth Proportional to 6,142.24, 9,218.02 and 4,503.06

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Solution

The fourth proportional to 6,142.24, 9,218.02 and 4,503.06 is: 6,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.24 : 9,218.02 = 4,503.06 : x
  2. Step 2: Convert to fraction form
    6,142.24/9,218.02 = 4,503.06/x
  3. Step 3: Cross multiply
    6,142.24x = 9,218.02 × 4,503.06
  4. Step 4: Simplify right side
    6,142.24x = 41,509,297.14
  5. Step 5: Solve for x
    x = 41,509,297.14/6,142.24
  6. Step 6: Final answer
    x = 6,758.01

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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.