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Finding the Fourth Proportional to 9,223.38, 13,835.43 and 5,246.28

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Solution

The fourth proportional to 9,223.38, 13,835.43 and 5,246.28 is: 7,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.38 : 13,835.43 = 5,246.28 : x
  2. Step 2: Convert to fraction form
    9,223.38/13,835.43 = 5,246.28/x
  3. Step 3: Cross multiply
    9,223.38x = 13,835.43 × 5,246.28
  4. Step 4: Simplify right side
    9,223.38x = 72,584,539.70
  5. Step 5: Solve for x
    x = 72,584,539.70/9,223.38
  6. Step 6: Final answer
    x = 7,869.62

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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.