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Finding the Fourth Proportional to 6,955.34, 9,598.34 and 3,811.50

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Solution

The fourth proportional to 6,955.34, 9,598.34 and 3,811.50 is: 5,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.34 : 9,598.34 = 3,811.50 : x
  2. Step 2: Convert to fraction form
    6,955.34/9,598.34 = 3,811.50/x
  3. Step 3: Cross multiply
    6,955.34x = 9,598.34 × 3,811.50
  4. Step 4: Simplify right side
    6,955.34x = 36,584,082.44
  5. Step 5: Solve for x
    x = 36,584,082.44/6,955.34
  6. Step 6: Final answer
    x = 5,259.86

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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.