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Finding the Fourth Proportional to 9,407.56, 12,982.68 and 5,158.81

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Solution

The fourth proportional to 9,407.56, 12,982.68 and 5,158.81 is: 7,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.56 : 12,982.68 = 5,158.81 : x
  2. Step 2: Convert to fraction form
    9,407.56/12,982.68 = 5,158.81/x
  3. Step 3: Cross multiply
    9,407.56x = 12,982.68 × 5,158.81
  4. Step 4: Simplify right side
    9,407.56x = 66,975,146.95
  5. Step 5: Solve for x
    x = 66,975,146.95/9,407.56
  6. Step 6: Final answer
    x = 7,119.29

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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.