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Finding the Fourth Proportional to 9,219.31, 13,833.03 and 4,835.71

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Solution

The fourth proportional to 9,219.31, 13,833.03 and 4,835.71 is: 7,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.31 : 13,833.03 = 4,835.71 : x
  2. Step 2: Convert to fraction form
    9,219.31/13,833.03 = 4,835.71/x
  3. Step 3: Cross multiply
    9,219.31x = 13,833.03 × 4,835.71
  4. Step 4: Simplify right side
    9,219.31x = 66,892,521.50
  5. Step 5: Solve for x
    x = 66,892,521.50/9,219.31
  6. Step 6: Final answer
    x = 7,255.70

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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.