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Finding the Fourth Proportional to 9,206.68, 12,705.20 and 5,014.96

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Solution

The fourth proportional to 9,206.68, 12,705.20 and 5,014.96 is: 6,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.68 : 12,705.20 = 5,014.96 : x
  2. Step 2: Convert to fraction form
    9,206.68/12,705.20 = 5,014.96/x
  3. Step 3: Cross multiply
    9,206.68x = 12,705.20 × 5,014.96
  4. Step 4: Simplify right side
    9,206.68x = 63,716,069.79
  5. Step 5: Solve for x
    x = 63,716,069.79/9,206.68
  6. Step 6: Final answer
    x = 6,920.63

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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.