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Finding the Fourth Proportional to 6,261.64, 9,414.02 and 5,037.63

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Solution

The fourth proportional to 6,261.64, 9,414.02 and 5,037.63 is: 7,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.64 : 9,414.02 = 5,037.63 : x
  2. Step 2: Convert to fraction form
    6,261.64/9,414.02 = 5,037.63/x
  3. Step 3: Cross multiply
    6,261.64x = 9,414.02 × 5,037.63
  4. Step 4: Simplify right side
    6,261.64x = 47,424,326.86
  5. Step 5: Solve for x
    x = 47,424,326.86/6,261.64
  6. Step 6: Final answer
    x = 7,573.79

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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.