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Finding the Fourth Proportional to 6,892.10, 9,512.61 and 4,534.46

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Solution

The fourth proportional to 6,892.10, 9,512.61 and 4,534.46 is: 6,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.10 : 9,512.61 = 4,534.46 : x
  2. Step 2: Convert to fraction form
    6,892.10/9,512.61 = 4,534.46/x
  3. Step 3: Cross multiply
    6,892.10x = 9,512.61 × 4,534.46
  4. Step 4: Simplify right side
    6,892.10x = 43,134,549.54
  5. Step 5: Solve for x
    x = 43,134,549.54/6,892.10
  6. Step 6: Final answer
    x = 6,258.55

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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.