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Finding the Fourth Proportional to 6,280.70, 9,435.74 and 5,926.05

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Solution

The fourth proportional to 6,280.70, 9,435.74 and 5,926.05 is: 8,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.70 : 9,435.74 = 5,926.05 : x
  2. Step 2: Convert to fraction form
    6,280.70/9,435.74 = 5,926.05/x
  3. Step 3: Cross multiply
    6,280.70x = 9,435.74 × 5,926.05
  4. Step 4: Simplify right side
    6,280.70x = 55,916,637.40
  5. Step 5: Solve for x
    x = 55,916,637.40/6,280.70
  6. Step 6: Final answer
    x = 8,902.94

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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.