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Finding the Fourth Proportional to 9,408.86, 14,127.18 and 5,257.02

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Solution

The fourth proportional to 9,408.86, 14,127.18 and 5,257.02 is: 7,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.86 : 14,127.18 = 5,257.02 : x
  2. Step 2: Convert to fraction form
    9,408.86/14,127.18 = 5,257.02/x
  3. Step 3: Cross multiply
    9,408.86x = 14,127.18 × 5,257.02
  4. Step 4: Simplify right side
    9,408.86x = 74,266,867.80
  5. Step 5: Solve for x
    x = 74,266,867.80/9,408.86
  6. Step 6: Final answer
    x = 7,893.29

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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.