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Finding the Fourth Proportional to 9,165.30, 13,738.20 and 6,968.58

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Solution

The fourth proportional to 9,165.30, 13,738.20 and 6,968.58 is: 10,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.30 : 13,738.20 = 6,968.58 : x
  2. Step 2: Convert to fraction form
    9,165.30/13,738.20 = 6,968.58/x
  3. Step 3: Cross multiply
    9,165.30x = 13,738.20 × 6,968.58
  4. Step 4: Simplify right side
    9,165.30x = 95,735,745.76
  5. Step 5: Solve for x
    x = 95,735,745.76/9,165.30
  6. Step 6: Final answer
    x = 10,445.46

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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.