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Finding the Fourth Proportional to 6,361.60, 9,524.78 and 4,796.86

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Solution

The fourth proportional to 6,361.60, 9,524.78 and 4,796.86 is: 7,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.60 : 9,524.78 = 4,796.86 : x
  2. Step 2: Convert to fraction form
    6,361.60/9,524.78 = 4,796.86/x
  3. Step 3: Cross multiply
    6,361.60x = 9,524.78 × 4,796.86
  4. Step 4: Simplify right side
    6,361.60x = 45,689,036.19
  5. Step 5: Solve for x
    x = 45,689,036.19/6,361.60
  6. Step 6: Final answer
    x = 7,182.00

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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.