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Finding the Fourth Proportional to 6,730.34, 10,097.20 and 2,347.84

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Solution

The fourth proportional to 6,730.34, 10,097.20 and 2,347.84 is: 3,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.34 : 10,097.20 = 2,347.84 : x
  2. Step 2: Convert to fraction form
    6,730.34/10,097.20 = 2,347.84/x
  3. Step 3: Cross multiply
    6,730.34x = 10,097.20 × 2,347.84
  4. Step 4: Simplify right side
    6,730.34x = 23,706,610.05
  5. Step 5: Solve for x
    x = 23,706,610.05/6,730.34
  6. Step 6: Final answer
    x = 3,522.35

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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.