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Finding the Fourth Proportional to 6,536.56, 9,014.34 and 5,042.12

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Solution

The fourth proportional to 6,536.56, 9,014.34 and 5,042.12 is: 6,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.56 : 9,014.34 = 5,042.12 : x
  2. Step 2: Convert to fraction form
    6,536.56/9,014.34 = 5,042.12/x
  3. Step 3: Cross multiply
    6,536.56x = 9,014.34 × 5,042.12
  4. Step 4: Simplify right side
    6,536.56x = 45,451,384.00
  5. Step 5: Solve for x
    x = 45,451,384.00/6,536.56
  6. Step 6: Final answer
    x = 6,953.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.