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Finding the Fourth Proportional to 12,560.96, 17,334.72 and 6,972

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Solution

The fourth proportional to 12,560.96, 17,334.72 and 6,972 is: 9,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.96 : 17,334.72 = 6,972 : x
  2. Step 2: Convert to fraction form
    12,560.96/17,334.72 = 6,972/x
  3. Step 3: Cross multiply
    12,560.96x = 17,334.72 × 6,972
  4. Step 4: Simplify right side
    12,560.96x = 120,857,667.84
  5. Step 5: Solve for x
    x = 120,857,667.84/12,560.96
  6. Step 6: Final answer
    x = 9,621.69

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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.