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Finding the Fourth Proportional to 9,910.95, 14,864.81 and 3,669.50

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Solution

The fourth proportional to 9,910.95, 14,864.81 and 3,669.50 is: 5,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.95 : 14,864.81 = 3,669.50 : x
  2. Step 2: Convert to fraction form
    9,910.95/14,864.81 = 3,669.50/x
  3. Step 3: Cross multiply
    9,910.95x = 14,864.81 × 3,669.50
  4. Step 4: Simplify right side
    9,910.95x = 54,546,327.62
  5. Step 5: Solve for x
    x = 54,546,327.62/9,910.95
  6. Step 6: Final answer
    x = 5,503.64

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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.