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Finding the Fourth Proportional to 9,866.96, 14,799.96 and 3,626.50

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Solution

The fourth proportional to 9,866.96, 14,799.96 and 3,626.50 is: 5,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.96 : 14,799.96 = 3,626.50 : x
  2. Step 2: Convert to fraction form
    9,866.96/14,799.96 = 3,626.50/x
  3. Step 3: Cross multiply
    9,866.96x = 14,799.96 × 3,626.50
  4. Step 4: Simplify right side
    9,866.96x = 53,671,962.81
  5. Step 5: Solve for x
    x = 53,671,962.81/9,866.96
  6. Step 6: Final answer
    x = 5,439.56

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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.