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Finding the Fourth Proportional to 9,497.40, 14,249.34 and 8,415.24

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Solution

The fourth proportional to 9,497.40, 14,249.34 and 8,415.24 is: 12,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.40 : 14,249.34 = 8,415.24 : x
  2. Step 2: Convert to fraction form
    9,497.40/14,249.34 = 8,415.24/x
  3. Step 3: Cross multiply
    9,497.40x = 14,249.34 × 8,415.24
  4. Step 4: Simplify right side
    9,497.40x = 119,911,615.94
  5. Step 5: Solve for x
    x = 119,911,615.94/9,497.40
  6. Step 6: Final answer
    x = 12,625.73

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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.