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Finding the Fourth Proportional to 9,624.94, 14,436.48 and 6,524.88

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Solution

The fourth proportional to 9,624.94, 14,436.48 and 6,524.88 is: 9,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.94 : 14,436.48 = 6,524.88 : x
  2. Step 2: Convert to fraction form
    9,624.94/14,436.48 = 6,524.88/x
  3. Step 3: Cross multiply
    9,624.94x = 14,436.48 × 6,524.88
  4. Step 4: Simplify right side
    9,624.94x = 94,196,299.62
  5. Step 5: Solve for x
    x = 94,196,299.62/9,624.94
  6. Step 6: Final answer
    x = 9,786.69

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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.