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Finding the Fourth Proportional to 9,335.64, 12,874.52 and 6,813.76

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Solution

The fourth proportional to 9,335.64, 12,874.52 and 6,813.76 is: 9,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.64 : 12,874.52 = 6,813.76 : x
  2. Step 2: Convert to fraction form
    9,335.64/12,874.52 = 6,813.76/x
  3. Step 3: Cross multiply
    9,335.64x = 12,874.52 × 6,813.76
  4. Step 4: Simplify right side
    9,335.64x = 87,723,825.02
  5. Step 5: Solve for x
    x = 87,723,825.02/9,335.64
  6. Step 6: Final answer
    x = 9,396.66

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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.