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Finding the Fourth Proportional to 9,346.49, 12,899.55 and 5,993.09

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Solution

The fourth proportional to 9,346.49, 12,899.55 and 5,993.09 is: 8,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.49 : 12,899.55 = 5,993.09 : x
  2. Step 2: Convert to fraction form
    9,346.49/12,899.55 = 5,993.09/x
  3. Step 3: Cross multiply
    9,346.49x = 12,899.55 × 5,993.09
  4. Step 4: Simplify right side
    9,346.49x = 77,308,170.46
  5. Step 5: Solve for x
    x = 77,308,170.46/9,346.49
  6. Step 6: Final answer
    x = 8,271.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.