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Finding the Fourth Proportional to 6,316.65, 9,474.98 and 2,156.49

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Solution

The fourth proportional to 6,316.65, 9,474.98 and 2,156.49 is: 3,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.65 : 9,474.98 = 2,156.49 : x
  2. Step 2: Convert to fraction form
    6,316.65/9,474.98 = 2,156.49/x
  3. Step 3: Cross multiply
    6,316.65x = 9,474.98 × 2,156.49
  4. Step 4: Simplify right side
    6,316.65x = 20,432,688.84
  5. Step 5: Solve for x
    x = 20,432,688.84/6,316.65
  6. Step 6: Final answer
    x = 3,234.74

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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.