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Finding the Fourth Proportional to 6,316.75, 9,475.06 and 2,421.15

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Solution

The fourth proportional to 6,316.75, 9,475.06 and 2,421.15 is: 3,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.75 : 9,475.06 = 2,421.15 : x
  2. Step 2: Convert to fraction form
    6,316.75/9,475.06 = 2,421.15/x
  3. Step 3: Cross multiply
    6,316.75x = 9,475.06 × 2,421.15
  4. Step 4: Simplify right side
    6,316.75x = 22,940,581.31
  5. Step 5: Solve for x
    x = 22,940,581.31/6,316.75
  6. Step 6: Final answer
    x = 3,631.71

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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.