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Finding the Fourth Proportional to 9,389.40, 12,961.26 and 6,032.40

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Solution

The fourth proportional to 9,389.40, 12,961.26 and 6,032.40 is: 8,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.40 : 12,961.26 = 6,032.40 : x
  2. Step 2: Convert to fraction form
    9,389.40/12,961.26 = 6,032.40/x
  3. Step 3: Cross multiply
    9,389.40x = 12,961.26 × 6,032.40
  4. Step 4: Simplify right side
    9,389.40x = 78,187,504.82
  5. Step 5: Solve for x
    x = 78,187,504.82/9,389.40
  6. Step 6: Final answer
    x = 8,327.21

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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.