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Finding the Fourth Proportional to 6,142.36, 9,213.58 and 1,525.36

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Solution

The fourth proportional to 6,142.36, 9,213.58 and 1,525.36 is: 2,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.36 : 9,213.58 = 1,525.36 : x
  2. Step 2: Convert to fraction form
    6,142.36/9,213.58 = 1,525.36/x
  3. Step 3: Cross multiply
    6,142.36x = 9,213.58 × 1,525.36
  4. Step 4: Simplify right side
    6,142.36x = 14,054,026.39
  5. Step 5: Solve for x
    x = 14,054,026.39/6,142.36
  6. Step 6: Final answer
    x = 2,288.05

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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.