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Finding the Fourth Proportional to 9,171.36, 12,644.64 and 6,657.12

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Solution

The fourth proportional to 9,171.36, 12,644.64 and 6,657.12 is: 9,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.36 : 12,644.64 = 6,657.12 : x
  2. Step 2: Convert to fraction form
    9,171.36/12,644.64 = 6,657.12/x
  3. Step 3: Cross multiply
    9,171.36x = 12,644.64 × 6,657.12
  4. Step 4: Simplify right side
    9,171.36x = 84,176,885.84
  5. Step 5: Solve for x
    x = 84,176,885.84/9,171.36
  6. Step 6: Final answer
    x = 9,178.23

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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.