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Finding the Fourth Proportional to 9,825.72, 13,545.90 and 7,173.24

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Solution

The fourth proportional to 9,825.72, 13,545.90 and 7,173.24 is: 9,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.72 : 13,545.90 = 7,173.24 : x
  2. Step 2: Convert to fraction form
    9,825.72/13,545.90 = 7,173.24/x
  3. Step 3: Cross multiply
    9,825.72x = 13,545.90 × 7,173.24
  4. Step 4: Simplify right side
    9,825.72x = 97,167,991.72
  5. Step 5: Solve for x
    x = 97,167,991.72/9,825.72
  6. Step 6: Final answer
    x = 9,889.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.