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Finding the Fourth Proportional to 9,545.81, 13,173.05 and 5,353.97

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Solution

The fourth proportional to 9,545.81, 13,173.05 and 5,353.97 is: 7,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.81 : 13,173.05 = 5,353.97 : x
  2. Step 2: Convert to fraction form
    9,545.81/13,173.05 = 5,353.97/x
  3. Step 3: Cross multiply
    9,545.81x = 13,173.05 × 5,353.97
  4. Step 4: Simplify right side
    9,545.81x = 70,528,062.03
  5. Step 5: Solve for x
    x = 70,528,062.03/9,545.81
  6. Step 6: Final answer
    x = 7,388.38

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Why These Related Problems?

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