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Finding the Fourth Proportional to 9,408.70, 14,107.47 and 6,292.18

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Solution

The fourth proportional to 9,408.70, 14,107.47 and 6,292.18 is: 9,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.70 : 14,107.47 = 6,292.18 : x
  2. Step 2: Convert to fraction form
    9,408.70/14,107.47 = 6,292.18/x
  3. Step 3: Cross multiply
    9,408.70x = 14,107.47 × 6,292.18
  4. Step 4: Simplify right side
    9,408.70x = 88,766,740.58
  5. Step 5: Solve for x
    x = 88,766,740.58/9,408.70
  6. Step 6: Final answer
    x = 9,434.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.