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Finding the Fourth Proportional to 6,212.16, 9,318.22 and 1,595.16

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Solution

The fourth proportional to 6,212.16, 9,318.22 and 1,595.16 is: 2,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.16 : 9,318.22 = 1,595.16 : x
  2. Step 2: Convert to fraction form
    6,212.16/9,318.22 = 1,595.16/x
  3. Step 3: Cross multiply
    6,212.16x = 9,318.22 × 1,595.16
  4. Step 4: Simplify right side
    6,212.16x = 14,864,051.82
  5. Step 5: Solve for x
    x = 14,864,051.82/6,212.16
  6. Step 6: Final answer
    x = 2,392.73

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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.