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Finding the Fourth Proportional to 6,870.44, 10,293.89 and 4,614.74

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Solution

The fourth proportional to 6,870.44, 10,293.89 and 4,614.74 is: 6,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.44 : 10,293.89 = 4,614.74 : x
  2. Step 2: Convert to fraction form
    6,870.44/10,293.89 = 4,614.74/x
  3. Step 3: Cross multiply
    6,870.44x = 10,293.89 × 4,614.74
  4. Step 4: Simplify right side
    6,870.44x = 47,503,625.94
  5. Step 5: Solve for x
    x = 47,503,625.94/6,870.44
  6. Step 6: Final answer
    x = 6,914.20

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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.