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Finding the Fourth Proportional to 6,305.70, 8,697.99 and 3,916.50

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Solution

The fourth proportional to 6,305.70, 8,697.99 and 3,916.50 is: 5,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.70 : 8,697.99 = 3,916.50 : x
  2. Step 2: Convert to fraction form
    6,305.70/8,697.99 = 3,916.50/x
  3. Step 3: Cross multiply
    6,305.70x = 8,697.99 × 3,916.50
  4. Step 4: Simplify right side
    6,305.70x = 34,065,677.84
  5. Step 5: Solve for x
    x = 34,065,677.84/6,305.70
  6. Step 6: Final answer
    x = 5,402.36

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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.