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Finding the Fourth Proportional to 9,331.47, 12,875.22 and 5,297.42

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Solution

The fourth proportional to 9,331.47, 12,875.22 and 5,297.42 is: 7,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.47 : 12,875.22 = 5,297.42 : x
  2. Step 2: Convert to fraction form
    9,331.47/12,875.22 = 5,297.42/x
  3. Step 3: Cross multiply
    9,331.47x = 12,875.22 × 5,297.42
  4. Step 4: Simplify right side
    9,331.47x = 68,205,480.12
  5. Step 5: Solve for x
    x = 68,205,480.12/9,331.47
  6. Step 6: Final answer
    x = 7,309.19

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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.