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Finding the Fourth Proportional to 6,885.46, 9,501.72 and 3,741.64

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Solution

The fourth proportional to 6,885.46, 9,501.72 and 3,741.64 is: 5,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.46 : 9,501.72 = 3,741.64 : x
  2. Step 2: Convert to fraction form
    6,885.46/9,501.72 = 3,741.64/x
  3. Step 3: Cross multiply
    6,885.46x = 9,501.72 × 3,741.64
  4. Step 4: Simplify right side
    6,885.46x = 35,552,015.62
  5. Step 5: Solve for x
    x = 35,552,015.62/6,885.46
  6. Step 6: Final answer
    x = 5,163.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.