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Finding the Fourth Proportional to 9,705.50, 13,395.75 and 6,168.02

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Solution

The fourth proportional to 9,705.50, 13,395.75 and 6,168.02 is: 8,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.50 : 13,395.75 = 6,168.02 : x
  2. Step 2: Convert to fraction form
    9,705.50/13,395.75 = 6,168.02/x
  3. Step 3: Cross multiply
    9,705.50x = 13,395.75 × 6,168.02
  4. Step 4: Simplify right side
    9,705.50x = 82,625,253.92
  5. Step 5: Solve for x
    x = 82,625,253.92/9,705.50
  6. Step 6: Final answer
    x = 8,513.24

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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.