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Finding the Fourth Proportional to 6,169.64, 9,258.08 and 2,276.76

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Solution

The fourth proportional to 6,169.64, 9,258.08 and 2,276.76 is: 3,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.64 : 9,258.08 = 2,276.76 : x
  2. Step 2: Convert to fraction form
    6,169.64/9,258.08 = 2,276.76/x
  3. Step 3: Cross multiply
    6,169.64x = 9,258.08 × 2,276.76
  4. Step 4: Simplify right side
    6,169.64x = 21,078,426.22
  5. Step 5: Solve for x
    x = 21,078,426.22/6,169.64
  6. Step 6: Final answer
    x = 3,416.48

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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.