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Finding the Fourth Proportional to 9,705.51, 13,391.55 and 6,167.43

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Solution

The fourth proportional to 9,705.51, 13,391.55 and 6,167.43 is: 8,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.51 : 13,391.55 = 6,167.43 : x
  2. Step 2: Convert to fraction form
    9,705.51/13,391.55 = 6,167.43/x
  3. Step 3: Cross multiply
    9,705.51x = 13,391.55 × 6,167.43
  4. Step 4: Simplify right side
    9,705.51x = 82,591,447.22
  5. Step 5: Solve for x
    x = 82,591,447.22/9,705.51
  6. Step 6: Final answer
    x = 8,509.75

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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.