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Finding the Fourth Proportional to 9,806.13, 14,710.82 and 5,855.49

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Solution

The fourth proportional to 9,806.13, 14,710.82 and 5,855.49 is: 8,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.13 : 14,710.82 = 5,855.49 : x
  2. Step 2: Convert to fraction form
    9,806.13/14,710.82 = 5,855.49/x
  3. Step 3: Cross multiply
    9,806.13x = 14,710.82 × 5,855.49
  4. Step 4: Simplify right side
    9,806.13x = 86,139,030.12
  5. Step 5: Solve for x
    x = 86,139,030.12/9,806.13
  6. Step 6: Final answer
    x = 8,784.20

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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.