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Finding the Fourth Proportional to 6,361.32, 9,544.40 and 2,897.76

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Solution

The fourth proportional to 6,361.32, 9,544.40 and 2,897.76 is: 4,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.32 : 9,544.40 = 2,897.76 : x
  2. Step 2: Convert to fraction form
    6,361.32/9,544.40 = 2,897.76/x
  3. Step 3: Cross multiply
    6,361.32x = 9,544.40 × 2,897.76
  4. Step 4: Simplify right side
    6,361.32x = 27,657,380.54
  5. Step 5: Solve for x
    x = 27,657,380.54/6,361.32
  6. Step 6: Final answer
    x = 4,347.74

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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.