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Finding the Fourth Proportional to 9,767.20, 14,661.60 and 9,132.70

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Solution

The fourth proportional to 9,767.20, 14,661.60 and 9,132.70 is: 13,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.20 : 14,661.60 = 9,132.70 : x
  2. Step 2: Convert to fraction form
    9,767.20/14,661.60 = 9,132.70/x
  3. Step 3: Cross multiply
    9,767.20x = 14,661.60 × 9,132.70
  4. Step 4: Simplify right side
    9,767.20x = 133,899,994.32
  5. Step 5: Solve for x
    x = 133,899,994.32/9,767.20
  6. Step 6: Final answer
    x = 13,709.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.