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Finding the Fourth Proportional to 6,881.16, 9,492.66 and 4,084.68

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Solution

The fourth proportional to 6,881.16, 9,492.66 and 4,084.68 is: 5,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.16 : 9,492.66 = 4,084.68 : x
  2. Step 2: Convert to fraction form
    6,881.16/9,492.66 = 4,084.68/x
  3. Step 3: Cross multiply
    6,881.16x = 9,492.66 × 4,084.68
  4. Step 4: Simplify right side
    6,881.16x = 38,774,478.45
  5. Step 5: Solve for x
    x = 38,774,478.45/6,881.16
  6. Step 6: Final answer
    x = 5,634.88

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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.