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Finding the Fourth Proportional to 9,806.07, 14,710.92 and 3,232.51

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Solution

The fourth proportional to 9,806.07, 14,710.92 and 3,232.51 is: 4,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.07 : 14,710.92 = 3,232.51 : x
  2. Step 2: Convert to fraction form
    9,806.07/14,710.92 = 3,232.51/x
  3. Step 3: Cross multiply
    9,806.07x = 14,710.92 × 3,232.51
  4. Step 4: Simplify right side
    9,806.07x = 47,553,196.01
  5. Step 5: Solve for x
    x = 47,553,196.01/9,806.07
  6. Step 6: Final answer
    x = 4,849.36

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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.