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Finding the Fourth Proportional to 9,376.71, 14,059.74 and 3,823.55

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Solution

The fourth proportional to 9,376.71, 14,059.74 and 3,823.55 is: 5,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.71 : 14,059.74 = 3,823.55 : x
  2. Step 2: Convert to fraction form
    9,376.71/14,059.74 = 3,823.55/x
  3. Step 3: Cross multiply
    9,376.71x = 14,059.74 × 3,823.55
  4. Step 4: Simplify right side
    9,376.71x = 53,758,099.76
  5. Step 5: Solve for x
    x = 53,758,099.76/9,376.71
  6. Step 6: Final answer
    x = 5,733.15

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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.