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Finding the Fourth Proportional to 6,641.34, 9,955.53 and 3,181.02

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Solution

The fourth proportional to 6,641.34, 9,955.53 and 3,181.02 is: 4,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.34 : 9,955.53 = 3,181.02 : x
  2. Step 2: Convert to fraction form
    6,641.34/9,955.53 = 3,181.02/x
  3. Step 3: Cross multiply
    6,641.34x = 9,955.53 × 3,181.02
  4. Step 4: Simplify right side
    6,641.34x = 31,668,740.04
  5. Step 5: Solve for x
    x = 31,668,740.04/6,641.34
  6. Step 6: Final answer
    x = 4,768.43

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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.