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Finding the Fourth Proportional to 9,546.66, 13,172.22 and 5,568.35

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Solution

The fourth proportional to 9,546.66, 13,172.22 and 5,568.35 is: 7,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.66 : 13,172.22 = 5,568.35 : x
  2. Step 2: Convert to fraction form
    9,546.66/13,172.22 = 5,568.35/x
  3. Step 3: Cross multiply
    9,546.66x = 13,172.22 × 5,568.35
  4. Step 4: Simplify right side
    9,546.66x = 73,347,465.38
  5. Step 5: Solve for x
    x = 73,347,465.38/9,546.66
  6. Step 6: Final answer
    x = 7,683.05

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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.