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Finding the Fourth Proportional to 9,153.60, 13,728.24 and 3,956.64

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Solution

The fourth proportional to 9,153.60, 13,728.24 and 3,956.64 is: 5,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.60 : 13,728.24 = 3,956.64 : x
  2. Step 2: Convert to fraction form
    9,153.60/13,728.24 = 3,956.64/x
  3. Step 3: Cross multiply
    9,153.60x = 13,728.24 × 3,956.64
  4. Step 4: Simplify right side
    9,153.60x = 54,317,703.51
  5. Step 5: Solve for x
    x = 54,317,703.51/9,153.60
  6. Step 6: Final answer
    x = 5,934.03

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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.