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Finding the Fourth Proportional to 9,549.93, 14,329.19 and 5,162.25

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Solution

The fourth proportional to 9,549.93, 14,329.19 and 5,162.25 is: 7,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.93 : 14,329.19 = 5,162.25 : x
  2. Step 2: Convert to fraction form
    9,549.93/14,329.19 = 5,162.25/x
  3. Step 3: Cross multiply
    9,549.93x = 14,329.19 × 5,162.25
  4. Step 4: Simplify right side
    9,549.93x = 73,970,861.08
  5. Step 5: Solve for x
    x = 73,970,861.08/9,549.93
  6. Step 6: Final answer
    x = 7,745.70

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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.