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Finding the Fourth Proportional to 9,452.93, 14,188.14 and 4,776.23

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Solution

The fourth proportional to 9,452.93, 14,188.14 and 4,776.23 is: 7,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.93 : 14,188.14 = 4,776.23 : x
  2. Step 2: Convert to fraction form
    9,452.93/14,188.14 = 4,776.23/x
  3. Step 3: Cross multiply
    9,452.93x = 14,188.14 × 4,776.23
  4. Step 4: Simplify right side
    9,452.93x = 67,765,819.91
  5. Step 5: Solve for x
    x = 67,765,819.91/9,452.93
  6. Step 6: Final answer
    x = 7,168.76

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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.