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Finding the Fourth Proportional to 9,194.96, 12,689.08 and 5,003.22

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Solution

The fourth proportional to 9,194.96, 12,689.08 and 5,003.22 is: 6,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.96 : 12,689.08 = 5,003.22 : x
  2. Step 2: Convert to fraction form
    9,194.96/12,689.08 = 5,003.22/x
  3. Step 3: Cross multiply
    9,194.96x = 12,689.08 × 5,003.22
  4. Step 4: Simplify right side
    9,194.96x = 63,486,258.84
  5. Step 5: Solve for x
    x = 63,486,258.84/9,194.96
  6. Step 6: Final answer
    x = 6,904.46

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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.