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Finding the Fourth Proportional to 9,486.68, 13,096.98 and 6,581.48

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Solution

The fourth proportional to 9,486.68, 13,096.98 and 6,581.48 is: 9,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.68 : 13,096.98 = 6,581.48 : x
  2. Step 2: Convert to fraction form
    9,486.68/13,096.98 = 6,581.48/x
  3. Step 3: Cross multiply
    9,486.68x = 13,096.98 × 6,581.48
  4. Step 4: Simplify right side
    9,486.68x = 86,197,446.45
  5. Step 5: Solve for x
    x = 86,197,446.45/9,486.68
  6. Step 6: Final answer
    x = 9,086.16

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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.