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Finding the Fourth Proportional to 6,291.30, 9,391.02 and 5,408.40

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Solution

The fourth proportional to 6,291.30, 9,391.02 and 5,408.40 is: 8,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.30 : 9,391.02 = 5,408.40 : x
  2. Step 2: Convert to fraction form
    6,291.30/9,391.02 = 5,408.40/x
  3. Step 3: Cross multiply
    6,291.30x = 9,391.02 × 5,408.40
  4. Step 4: Simplify right side
    6,291.30x = 50,790,392.57
  5. Step 5: Solve for x
    x = 50,790,392.57/6,291.30
  6. Step 6: Final answer
    x = 8,073.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.