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Finding the Fourth Proportional to 9,138.82, 12,594.56 and 7,146.22

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Solution

The fourth proportional to 9,138.82, 12,594.56 and 7,146.22 is: 9,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.82 : 12,594.56 = 7,146.22 : x
  2. Step 2: Convert to fraction form
    9,138.82/12,594.56 = 7,146.22/x
  3. Step 3: Cross multiply
    9,138.82x = 12,594.56 × 7,146.22
  4. Step 4: Simplify right side
    9,138.82x = 90,003,496.56
  5. Step 5: Solve for x
    x = 90,003,496.56/9,138.82
  6. Step 6: Final answer
    x = 9,848.48

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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.