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Finding the Fourth Proportional to 9,905.61, 14,858.42 and 9,249.51

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Solution

The fourth proportional to 9,905.61, 14,858.42 and 9,249.51 is: 13,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.61 : 14,858.42 = 9,249.51 : x
  2. Step 2: Convert to fraction form
    9,905.61/14,858.42 = 9,249.51/x
  3. Step 3: Cross multiply
    9,905.61x = 14,858.42 × 9,249.51
  4. Step 4: Simplify right side
    9,905.61x = 137,433,058.13
  5. Step 5: Solve for x
    x = 137,433,058.13/9,905.61
  6. Step 6: Final answer
    x = 13,874.27

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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.