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Finding the Fourth Proportional to 9,410.08, 12,984.97 and 5,432.47

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Solution

The fourth proportional to 9,410.08, 12,984.97 and 5,432.47 is: 7,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.08 : 12,984.97 = 5,432.47 : x
  2. Step 2: Convert to fraction form
    9,410.08/12,984.97 = 5,432.47/x
  3. Step 3: Cross multiply
    9,410.08x = 12,984.97 × 5,432.47
  4. Step 4: Simplify right side
    9,410.08x = 70,540,506.02
  5. Step 5: Solve for x
    x = 70,540,506.02/9,410.08
  6. Step 6: Final answer
    x = 7,496.27

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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.