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Finding the Fourth Proportional to 9,194.64, 12,686.48 and 5,214.84

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Solution

The fourth proportional to 9,194.64, 12,686.48 and 5,214.84 is: 7,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.64 : 12,686.48 = 5,214.84 : x
  2. Step 2: Convert to fraction form
    9,194.64/12,686.48 = 5,214.84/x
  3. Step 3: Cross multiply
    9,194.64x = 12,686.48 × 5,214.84
  4. Step 4: Simplify right side
    9,194.64x = 66,157,963.36
  5. Step 5: Solve for x
    x = 66,157,963.36/9,194.64
  6. Step 6: Final answer
    x = 7,195.28

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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.