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Finding the Fourth Proportional to 6,904.54, 10,394.17 and 6,292.18

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Solution

The fourth proportional to 6,904.54, 10,394.17 and 6,292.18 is: 9,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.54 : 10,394.17 = 6,292.18 : x
  2. Step 2: Convert to fraction form
    6,904.54/10,394.17 = 6,292.18/x
  3. Step 3: Cross multiply
    6,904.54x = 10,394.17 × 6,292.18
  4. Step 4: Simplify right side
    6,904.54x = 65,401,988.59
  5. Step 5: Solve for x
    x = 65,401,988.59/6,904.54
  6. Step 6: Final answer
    x = 9,472.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.