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Finding the Fourth Proportional to 9,223.71, 13,838.31 and 4,296.27

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Solution

The fourth proportional to 9,223.71, 13,838.31 and 4,296.27 is: 6,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.71 : 13,838.31 = 4,296.27 : x
  2. Step 2: Convert to fraction form
    9,223.71/13,838.31 = 4,296.27/x
  3. Step 3: Cross multiply
    9,223.71x = 13,838.31 × 4,296.27
  4. Step 4: Simplify right side
    9,223.71x = 59,453,116.10
  5. Step 5: Solve for x
    x = 59,453,116.10/9,223.71
  6. Step 6: Final answer
    x = 6,445.68

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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.