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Finding the Fourth Proportional to 6,277.59, 9,416.38 and 2,577.22

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Solution

The fourth proportional to 6,277.59, 9,416.38 and 2,577.22 is: 3,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.59 : 9,416.38 = 2,577.22 : x
  2. Step 2: Convert to fraction form
    6,277.59/9,416.38 = 2,577.22/x
  3. Step 3: Cross multiply
    6,277.59x = 9,416.38 × 2,577.22
  4. Step 4: Simplify right side
    6,277.59x = 24,268,047.55
  5. Step 5: Solve for x
    x = 24,268,047.55/6,277.59
  6. Step 6: Final answer
    x = 3,865.82

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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.