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Finding the Fourth Proportional to 6,104.64, 9,157.20 and 4,037.88

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Solution

The fourth proportional to 6,104.64, 9,157.20 and 4,037.88 is: 6,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.64 : 9,157.20 = 4,037.88 : x
  2. Step 2: Convert to fraction form
    6,104.64/9,157.20 = 4,037.88/x
  3. Step 3: Cross multiply
    6,104.64x = 9,157.20 × 4,037.88
  4. Step 4: Simplify right side
    6,104.64x = 36,975,674.74
  5. Step 5: Solve for x
    x = 36,975,674.74/6,104.64
  6. Step 6: Final answer
    x = 6,056.98

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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.