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Finding the Fourth Proportional to 9,353.66, 12,907.13 and 5,161.64

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Solution

The fourth proportional to 9,353.66, 12,907.13 and 5,161.64 is: 7,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.66 : 12,907.13 = 5,161.64 : x
  2. Step 2: Convert to fraction form
    9,353.66/12,907.13 = 5,161.64/x
  3. Step 3: Cross multiply
    9,353.66x = 12,907.13 × 5,161.64
  4. Step 4: Simplify right side
    9,353.66x = 66,621,868.15
  5. Step 5: Solve for x
    x = 66,621,868.15/9,353.66
  6. Step 6: Final answer
    x = 7,122.55

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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.