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Finding the Fourth Proportional to 9,392.05, 12,961.01 and 5,200.45

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Solution

The fourth proportional to 9,392.05, 12,961.01 and 5,200.45 is: 7,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.05 : 12,961.01 = 5,200.45 : x
  2. Step 2: Convert to fraction form
    9,392.05/12,961.01 = 5,200.45/x
  3. Step 3: Cross multiply
    9,392.05x = 12,961.01 × 5,200.45
  4. Step 4: Simplify right side
    9,392.05x = 67,403,058.45
  5. Step 5: Solve for x
    x = 67,403,058.45/9,392.05
  6. Step 6: Final answer
    x = 7,176.61

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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.