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Finding the Fourth Proportional to 9,582.72, 13,224.36 and 5,334

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Solution

The fourth proportional to 9,582.72, 13,224.36 and 5,334 is: 7,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.72 : 13,224.36 = 5,334 : x
  2. Step 2: Convert to fraction form
    9,582.72/13,224.36 = 5,334/x
  3. Step 3: Cross multiply
    9,582.72x = 13,224.36 × 5,334
  4. Step 4: Simplify right side
    9,582.72x = 70,538,736.24
  5. Step 5: Solve for x
    x = 70,538,736.24/9,582.72
  6. Step 6: Final answer
    x = 7,361.03

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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.