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Finding the Fourth Proportional to 6,211.02, 9,316.65 and 2,314.65

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Solution

The fourth proportional to 6,211.02, 9,316.65 and 2,314.65 is: 3,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.02 : 9,316.65 = 2,314.65 : x
  2. Step 2: Convert to fraction form
    6,211.02/9,316.65 = 2,314.65/x
  3. Step 3: Cross multiply
    6,211.02x = 9,316.65 × 2,314.65
  4. Step 4: Simplify right side
    6,211.02x = 21,564,783.92
  5. Step 5: Solve for x
    x = 21,564,783.92/6,211.02
  6. Step 6: Final answer
    x = 3,472.02

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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.