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Finding the Fourth Proportional to 9,165.06, 13,754.50 and 6,706.22

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Solution

The fourth proportional to 9,165.06, 13,754.50 and 6,706.22 is: 10,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.06 : 13,754.50 = 6,706.22 : x
  2. Step 2: Convert to fraction form
    9,165.06/13,754.50 = 6,706.22/x
  3. Step 3: Cross multiply
    9,165.06x = 13,754.50 × 6,706.22
  4. Step 4: Simplify right side
    9,165.06x = 92,240,702.99
  5. Step 5: Solve for x
    x = 92,240,702.99/9,165.06
  6. Step 6: Final answer
    x = 10,064.39

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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.