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Finding the Fourth Proportional to 9,168.97, 12,653.47 and 5,189.99

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Solution

The fourth proportional to 9,168.97, 12,653.47 and 5,189.99 is: 7,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.97 : 12,653.47 = 5,189.99 : x
  2. Step 2: Convert to fraction form
    9,168.97/12,653.47 = 5,189.99/x
  3. Step 3: Cross multiply
    9,168.97x = 12,653.47 × 5,189.99
  4. Step 4: Simplify right side
    9,168.97x = 65,671,427.37
  5. Step 5: Solve for x
    x = 65,671,427.37/9,168.97
  6. Step 6: Final answer
    x = 7,162.36

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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.