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Finding the Fourth Proportional to 9,806.22, 14,700.12 and 5,858.58

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Solution

The fourth proportional to 9,806.22, 14,700.12 and 5,858.58 is: 8,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.22 : 14,700.12 = 5,858.58 : x
  2. Step 2: Convert to fraction form
    9,806.22/14,700.12 = 5,858.58/x
  3. Step 3: Cross multiply
    9,806.22x = 14,700.12 × 5,858.58
  4. Step 4: Simplify right side
    9,806.22x = 86,121,829.03
  5. Step 5: Solve for x
    x = 86,121,829.03/9,806.22
  6. Step 6: Final answer
    x = 8,782.37

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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.