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Finding the Fourth Proportional to 9,546.16, 13,173.80 and 5,569.68

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Solution

The fourth proportional to 9,546.16, 13,173.80 and 5,569.68 is: 7,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.16 : 13,173.80 = 5,569.68 : x
  2. Step 2: Convert to fraction form
    9,546.16/13,173.80 = 5,569.68/x
  3. Step 3: Cross multiply
    9,546.16x = 13,173.80 × 5,569.68
  4. Step 4: Simplify right side
    9,546.16x = 73,373,850.38
  5. Step 5: Solve for x
    x = 73,373,850.38/9,546.16
  6. Step 6: Final answer
    x = 7,686.22

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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.