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Finding the Fourth Proportional to 9,538.88, 13,149.84 and 6,697.60

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Solution

The fourth proportional to 9,538.88, 13,149.84 and 6,697.60 is: 9,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.88 : 13,149.84 = 6,697.60 : x
  2. Step 2: Convert to fraction form
    9,538.88/13,149.84 = 6,697.60/x
  3. Step 3: Cross multiply
    9,538.88x = 13,149.84 × 6,697.60
  4. Step 4: Simplify right side
    9,538.88x = 88,072,368.38
  5. Step 5: Solve for x
    x = 88,072,368.38/9,538.88
  6. Step 6: Final answer
    x = 9,232.99

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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.