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Finding the Fourth Proportional to 9,636.30, 14,454.45 and 6,188.94

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Solution

The fourth proportional to 9,636.30, 14,454.45 and 6,188.94 is: 9,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.30 : 14,454.45 = 6,188.94 : x
  2. Step 2: Convert to fraction form
    9,636.30/14,454.45 = 6,188.94/x
  3. Step 3: Cross multiply
    9,636.30x = 14,454.45 × 6,188.94
  4. Step 4: Simplify right side
    9,636.30x = 89,457,723.78
  5. Step 5: Solve for x
    x = 89,457,723.78/9,636.30
  6. Step 6: Final answer
    x = 9,283.41

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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.