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Finding the Fourth Proportional to 6,142.14, 9,213.27 and 1,525.14

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Solution

The fourth proportional to 6,142.14, 9,213.27 and 1,525.14 is: 2,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.14 : 9,213.27 = 1,525.14 : x
  2. Step 2: Convert to fraction form
    6,142.14/9,213.27 = 1,525.14/x
  3. Step 3: Cross multiply
    6,142.14x = 9,213.27 × 1,525.14
  4. Step 4: Simplify right side
    6,142.14x = 14,051,526.61
  5. Step 5: Solve for x
    x = 14,051,526.61/6,142.14
  6. Step 6: Final answer
    x = 2,287.72

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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.