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Finding the Fourth Proportional to 9,431.10, 13,019.40 and 5,895.45

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Solution

The fourth proportional to 9,431.10, 13,019.40 and 5,895.45 is: 8,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.10 : 13,019.40 = 5,895.45 : x
  2. Step 2: Convert to fraction form
    9,431.10/13,019.40 = 5,895.45/x
  3. Step 3: Cross multiply
    9,431.10x = 13,019.40 × 5,895.45
  4. Step 4: Simplify right side
    9,431.10x = 76,755,221.73
  5. Step 5: Solve for x
    x = 76,755,221.73/9,431.10
  6. Step 6: Final answer
    x = 8,138.52

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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.