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Finding the Fourth Proportional to 9,407.44, 12,982.42 and 5,158.89

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Solution

The fourth proportional to 9,407.44, 12,982.42 and 5,158.89 is: 7,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.44 : 12,982.42 = 5,158.89 : x
  2. Step 2: Convert to fraction form
    9,407.44/12,982.42 = 5,158.89/x
  3. Step 3: Cross multiply
    9,407.44x = 12,982.42 × 5,158.89
  4. Step 4: Simplify right side
    9,407.44x = 66,974,876.71
  5. Step 5: Solve for x
    x = 66,974,876.71/9,407.44
  6. Step 6: Final answer
    x = 7,119.35

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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.