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Finding the Fourth Proportional to 9,497.22, 14,249.99 and 5,053.83

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Solution

The fourth proportional to 9,497.22, 14,249.99 and 5,053.83 is: 7,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.22 : 14,249.99 = 5,053.83 : x
  2. Step 2: Convert to fraction form
    9,497.22/14,249.99 = 5,053.83/x
  3. Step 3: Cross multiply
    9,497.22x = 14,249.99 × 5,053.83
  4. Step 4: Simplify right side
    9,497.22x = 72,017,026.96
  5. Step 5: Solve for x
    x = 72,017,026.96/9,497.22
  6. Step 6: Final answer
    x = 7,582.96

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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.