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Finding the Fourth Proportional to 9,221.60, 13,836.90 and 4,288.70

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Solution

The fourth proportional to 9,221.60, 13,836.90 and 4,288.70 is: 6,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.60 : 13,836.90 = 4,288.70 : x
  2. Step 2: Convert to fraction form
    9,221.60/13,836.90 = 4,288.70/x
  3. Step 3: Cross multiply
    9,221.60x = 13,836.90 × 4,288.70
  4. Step 4: Simplify right side
    9,221.60x = 59,342,313.03
  5. Step 5: Solve for x
    x = 59,342,313.03/9,221.60
  6. Step 6: Final answer
    x = 6,435.14

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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.