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Finding the Fourth Proportional to 10,099.89, 13,940.10 and 6,467.04

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Solution

The fourth proportional to 10,099.89, 13,940.10 and 6,467.04 is: 8,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.89 : 13,940.10 = 6,467.04 : x
  2. Step 2: Convert to fraction form
    10,099.89/13,940.10 = 6,467.04/x
  3. Step 3: Cross multiply
    10,099.89x = 13,940.10 × 6,467.04
  4. Step 4: Simplify right side
    10,099.89x = 90,151,184.30
  5. Step 5: Solve for x
    x = 90,151,184.30/10,099.89
  6. Step 6: Final answer
    x = 8,925.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.