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Finding the Fourth Proportional to 9,408.12, 14,112.18 and 6,477.60

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Solution

The fourth proportional to 9,408.12, 14,112.18 and 6,477.60 is: 9,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.12 : 14,112.18 = 6,477.60 : x
  2. Step 2: Convert to fraction form
    9,408.12/14,112.18 = 6,477.60/x
  3. Step 3: Cross multiply
    9,408.12x = 14,112.18 × 6,477.60
  4. Step 4: Simplify right side
    9,408.12x = 91,413,057.17
  5. Step 5: Solve for x
    x = 91,413,057.17/9,408.12
  6. Step 6: Final answer
    x = 9,716.40

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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.