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Finding the Fourth Proportional to 6,911.64, 9,538.32 and 3,927.98

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Solution

The fourth proportional to 6,911.64, 9,538.32 and 3,927.98 is: 5,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.64 : 9,538.32 = 3,927.98 : x
  2. Step 2: Convert to fraction form
    6,911.64/9,538.32 = 3,927.98/x
  3. Step 3: Cross multiply
    6,911.64x = 9,538.32 × 3,927.98
  4. Step 4: Simplify right side
    6,911.64x = 37,466,282.50
  5. Step 5: Solve for x
    x = 37,466,282.50/6,911.64
  6. Step 6: Final answer
    x = 5,420.75

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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.