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Finding the Fourth Proportional to 9,206.98, 12,705.78 and 5,015.24

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Solution

The fourth proportional to 9,206.98, 12,705.78 and 5,015.24 is: 6,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.98 : 12,705.78 = 5,015.24 : x
  2. Step 2: Convert to fraction form
    9,206.98/12,705.78 = 5,015.24/x
  3. Step 3: Cross multiply
    9,206.98x = 12,705.78 × 5,015.24
  4. Step 4: Simplify right side
    9,206.98x = 63,722,536.09
  5. Step 5: Solve for x
    x = 63,722,536.09/9,206.98
  6. Step 6: Final answer
    x = 6,921.11

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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.