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Finding the Fourth Proportional to 9,117.16, 13,677.90 and 3,274.36

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Solution

The fourth proportional to 9,117.16, 13,677.90 and 3,274.36 is: 4,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.16 : 13,677.90 = 3,274.36 : x
  2. Step 2: Convert to fraction form
    9,117.16/13,677.90 = 3,274.36/x
  3. Step 3: Cross multiply
    9,117.16x = 13,677.90 × 3,274.36
  4. Step 4: Simplify right side
    9,117.16x = 44,786,368.64
  5. Step 5: Solve for x
    x = 44,786,368.64/9,117.16
  6. Step 6: Final answer
    x = 4,912.32

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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.