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Finding the Fourth Proportional to 9,122.64, 12,507.15 and 8,956.56

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Solution

The fourth proportional to 9,122.64, 12,507.15 and 8,956.56 is: 12,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.64 : 12,507.15 = 8,956.56 : x
  2. Step 2: Convert to fraction form
    9,122.64/12,507.15 = 8,956.56/x
  3. Step 3: Cross multiply
    9,122.64x = 12,507.15 × 8,956.56
  4. Step 4: Simplify right side
    9,122.64x = 112,021,039.40
  5. Step 5: Solve for x
    x = 112,021,039.40/9,122.64
  6. Step 6: Final answer
    x = 12,279.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.