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Finding the Fourth Proportional to 9,206.81, 12,705.40 and 5,015.06

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Solution

The fourth proportional to 9,206.81, 12,705.40 and 5,015.06 is: 6,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.81 : 12,705.40 = 5,015.06 : x
  2. Step 2: Convert to fraction form
    9,206.81/12,705.40 = 5,015.06/x
  3. Step 3: Cross multiply
    9,206.81x = 12,705.40 × 5,015.06
  4. Step 4: Simplify right side
    9,206.81x = 63,718,343.32
  5. Step 5: Solve for x
    x = 63,718,343.32/9,206.81
  6. Step 6: Final answer
    x = 6,920.78

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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.