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Finding the Fourth Proportional to 9,546.65, 13,190.21 and 7,545.39

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Solution

The fourth proportional to 9,546.65, 13,190.21 and 7,545.39 is: 10,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.65 : 13,190.21 = 7,545.39 : x
  2. Step 2: Convert to fraction form
    9,546.65/13,190.21 = 7,545.39/x
  3. Step 3: Cross multiply
    9,546.65x = 13,190.21 × 7,545.39
  4. Step 4: Simplify right side
    9,546.65x = 99,525,240.90
  5. Step 5: Solve for x
    x = 99,525,240.90/9,546.65
  6. Step 6: Final answer
    x = 10,425.15

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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.