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Finding the Fourth Proportional to 9,634.86, 14,451.24 and 6,534.78

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Solution

The fourth proportional to 9,634.86, 14,451.24 and 6,534.78 is: 9,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.86 : 14,451.24 = 6,534.78 : x
  2. Step 2: Convert to fraction form
    9,634.86/14,451.24 = 6,534.78/x
  3. Step 3: Cross multiply
    9,634.86x = 14,451.24 × 6,534.78
  4. Step 4: Simplify right side
    9,634.86x = 94,435,674.13
  5. Step 5: Solve for x
    x = 94,435,674.13/9,634.86
  6. Step 6: Final answer
    x = 9,801.46

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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.