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Finding the Fourth Proportional to 9,806.90, 14,712.40 and 3,232.26

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Solution

The fourth proportional to 9,806.90, 14,712.40 and 3,232.26 is: 4,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.90 : 14,712.40 = 3,232.26 : x
  2. Step 2: Convert to fraction form
    9,806.90/14,712.40 = 3,232.26/x
  3. Step 3: Cross multiply
    9,806.90x = 14,712.40 × 3,232.26
  4. Step 4: Simplify right side
    9,806.90x = 47,554,302.02
  5. Step 5: Solve for x
    x = 47,554,302.02/9,806.90
  6. Step 6: Final answer
    x = 4,849.07

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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.