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Finding the Fourth Proportional to 9,610.96, 13,263.04 and 5,631.24

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Solution

The fourth proportional to 9,610.96, 13,263.04 and 5,631.24 is: 7,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.96 : 13,263.04 = 5,631.24 : x
  2. Step 2: Convert to fraction form
    9,610.96/13,263.04 = 5,631.24/x
  3. Step 3: Cross multiply
    9,610.96x = 13,263.04 × 5,631.24
  4. Step 4: Simplify right side
    9,610.96x = 74,687,361.37
  5. Step 5: Solve for x
    x = 74,687,361.37/9,610.96
  6. Step 6: Final answer
    x = 7,771.06

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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.