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Finding the Fourth Proportional to 9,210.31, 13,806.17 and 5,260.26

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Solution

The fourth proportional to 9,210.31, 13,806.17 and 5,260.26 is: 7,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.31 : 13,806.17 = 5,260.26 : x
  2. Step 2: Convert to fraction form
    9,210.31/13,806.17 = 5,260.26/x
  3. Step 3: Cross multiply
    9,210.31x = 13,806.17 × 5,260.26
  4. Step 4: Simplify right side
    9,210.31x = 72,624,118.59
  5. Step 5: Solve for x
    x = 72,624,118.59/9,210.31
  6. Step 6: Final answer
    x = 7,885.09

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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.