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Finding the Fourth Proportional to 9,497.72, 14,246.54 and 2,572.22

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Solution

The fourth proportional to 9,497.72, 14,246.54 and 2,572.22 is: 3,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.72 : 14,246.54 = 2,572.22 : x
  2. Step 2: Convert to fraction form
    9,497.72/14,246.54 = 2,572.22/x
  3. Step 3: Cross multiply
    9,497.72x = 14,246.54 × 2,572.22
  4. Step 4: Simplify right side
    9,497.72x = 36,645,235.12
  5. Step 5: Solve for x
    x = 36,645,235.12/9,497.72
  6. Step 6: Final answer
    x = 3,858.32

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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.