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Finding the Fourth Proportional to 9,552, 13,181.76 and 5,361.60

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Solution

The fourth proportional to 9,552, 13,181.76 and 5,361.60 is: 7,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552 : 13,181.76 = 5,361.60 : x
  2. Step 2: Convert to fraction form
    9,552/13,181.76 = 5,361.60/x
  3. Step 3: Cross multiply
    9,552x = 13,181.76 × 5,361.60
  4. Step 4: Simplify right side
    9,552x = 70,675,324.42
  5. Step 5: Solve for x
    x = 70,675,324.42/9,552
  6. Step 6: Final answer
    x = 7,399.01

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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.