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Finding the Fourth Proportional to 9,792.41, 14,693.66 and 4,861.94

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Solution

The fourth proportional to 9,792.41, 14,693.66 and 4,861.94 is: 7,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.41 : 14,693.66 = 4,861.94 : x
  2. Step 2: Convert to fraction form
    9,792.41/14,693.66 = 4,861.94/x
  3. Step 3: Cross multiply
    9,792.41x = 14,693.66 × 4,861.94
  4. Step 4: Simplify right side
    9,792.41x = 71,439,595.52
  5. Step 5: Solve for x
    x = 71,439,595.52/9,792.41
  6. Step 6: Final answer
    x = 7,295.41

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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.