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Finding the Fourth Proportional to 9,497.08, 14,251.02 and 5,114.44

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Solution

The fourth proportional to 9,497.08, 14,251.02 and 5,114.44 is: 7,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.08 : 14,251.02 = 5,114.44 : x
  2. Step 2: Convert to fraction form
    9,497.08/14,251.02 = 5,114.44/x
  3. Step 3: Cross multiply
    9,497.08x = 14,251.02 × 5,114.44
  4. Step 4: Simplify right side
    9,497.08x = 72,885,986.73
  5. Step 5: Solve for x
    x = 72,885,986.73/9,497.08
  6. Step 6: Final answer
    x = 7,674.57

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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.