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Finding the Fourth Proportional to 9,497.30, 14,245.94 and 2,572.34

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Solution

The fourth proportional to 9,497.30, 14,245.94 and 2,572.34 is: 3,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.30 : 14,245.94 = 2,572.34 : x
  2. Step 2: Convert to fraction form
    9,497.30/14,245.94 = 2,572.34/x
  3. Step 3: Cross multiply
    9,497.30x = 14,245.94 × 2,572.34
  4. Step 4: Simplify right side
    9,497.30x = 36,645,401.30
  5. Step 5: Solve for x
    x = 36,645,401.30/9,497.30
  6. Step 6: Final answer
    x = 3,858.51

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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.