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Finding the Fourth Proportional to 9,297.96, 12,847.76 and 6,917.52

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Solution

The fourth proportional to 9,297.96, 12,847.76 and 6,917.52 is: 9,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.96 : 12,847.76 = 6,917.52 : x
  2. Step 2: Convert to fraction form
    9,297.96/12,847.76 = 6,917.52/x
  3. Step 3: Cross multiply
    9,297.96x = 12,847.76 × 6,917.52
  4. Step 4: Simplify right side
    9,297.96x = 88,874,636.76
  5. Step 5: Solve for x
    x = 88,874,636.76/9,297.96
  6. Step 6: Final answer
    x = 9,558.51

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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.