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Finding the Fourth Proportional to 9,196.72, 12,684.08 and 6,009.76

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Solution

The fourth proportional to 9,196.72, 12,684.08 and 6,009.76 is: 8,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.72 : 12,684.08 = 6,009.76 : x
  2. Step 2: Convert to fraction form
    9,196.72/12,684.08 = 6,009.76/x
  3. Step 3: Cross multiply
    9,196.72x = 12,684.08 × 6,009.76
  4. Step 4: Simplify right side
    9,196.72x = 76,228,276.62
  5. Step 5: Solve for x
    x = 76,228,276.62/9,196.72
  6. Step 6: Final answer
    x = 8,288.64

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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.