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Finding the Fourth Proportional to 9,497.12, 14,255.70 and 5,340.68

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Solution

The fourth proportional to 9,497.12, 14,255.70 and 5,340.68 is: 8,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.12 : 14,255.70 = 5,340.68 : x
  2. Step 2: Convert to fraction form
    9,497.12/14,255.70 = 5,340.68/x
  3. Step 3: Cross multiply
    9,497.12x = 14,255.70 × 5,340.68
  4. Step 4: Simplify right side
    9,497.12x = 76,135,131.88
  5. Step 5: Solve for x
    x = 76,135,131.88/9,497.12
  6. Step 6: Final answer
    x = 8,016.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.