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Finding the Fourth Proportional to 9,217.72, 12,737.46 and 6,975.64

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Solution

The fourth proportional to 9,217.72, 12,737.46 and 6,975.64 is: 9,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.72 : 12,737.46 = 6,975.64 : x
  2. Step 2: Convert to fraction form
    9,217.72/12,737.46 = 6,975.64/x
  3. Step 3: Cross multiply
    9,217.72x = 12,737.46 × 6,975.64
  4. Step 4: Simplify right side
    9,217.72x = 88,851,935.47
  5. Step 5: Solve for x
    x = 88,851,935.47/9,217.72
  6. Step 6: Final answer
    x = 9,639.25

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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.