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Finding the Fourth Proportional to 9,358.66, 12,914.92 and 5,166.88

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Solution

The fourth proportional to 9,358.66, 12,914.92 and 5,166.88 is: 7,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.66 : 12,914.92 = 5,166.88 : x
  2. Step 2: Convert to fraction form
    9,358.66/12,914.92 = 5,166.88/x
  3. Step 3: Cross multiply
    9,358.66x = 12,914.92 × 5,166.88
  4. Step 4: Simplify right side
    9,358.66x = 66,729,841.85
  5. Step 5: Solve for x
    x = 66,729,841.85/9,358.66
  6. Step 6: Final answer
    x = 7,130.28

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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.