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Finding the Fourth Proportional to 9,715.52, 13,405.36 and 6,177.44

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Solution

The fourth proportional to 9,715.52, 13,405.36 and 6,177.44 is: 8,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.52 : 13,405.36 = 6,177.44 : x
  2. Step 2: Convert to fraction form
    9,715.52/13,405.36 = 6,177.44/x
  3. Step 3: Cross multiply
    9,715.52x = 13,405.36 × 6,177.44
  4. Step 4: Simplify right side
    9,715.52x = 82,810,807.08
  5. Step 5: Solve for x
    x = 82,810,807.08/9,715.52
  6. Step 6: Final answer
    x = 8,523.56

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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.