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Finding the Fourth Proportional to 9,407.52, 12,982.02 and 5,158.44

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Solution

The fourth proportional to 9,407.52, 12,982.02 and 5,158.44 is: 7,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.52 : 12,982.02 = 5,158.44 : x
  2. Step 2: Convert to fraction form
    9,407.52/12,982.02 = 5,158.44/x
  3. Step 3: Cross multiply
    9,407.52x = 12,982.02 × 5,158.44
  4. Step 4: Simplify right side
    9,407.52x = 66,966,971.25
  5. Step 5: Solve for x
    x = 66,966,971.25/9,407.52
  6. Step 6: Final answer
    x = 7,118.45

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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.