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Finding the Fourth Proportional to 9,152.96, 13,728 and 2,579.84

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Solution

The fourth proportional to 9,152.96, 13,728 and 2,579.84 is: 3,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.96 : 13,728 = 2,579.84 : x
  2. Step 2: Convert to fraction form
    9,152.96/13,728 = 2,579.84/x
  3. Step 3: Cross multiply
    9,152.96x = 13,728 × 2,579.84
  4. Step 4: Simplify right side
    9,152.96x = 35,416,043.52
  5. Step 5: Solve for x
    x = 35,416,043.52/9,152.96
  6. Step 6: Final answer
    x = 3,869.35

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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.