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Finding the Fourth Proportional to 10,494, 14,483.34 and 6,301.44

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Solution

The fourth proportional to 10,494, 14,483.34 and 6,301.44 is: 8,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 14,483.34 = 6,301.44 : x
  2. Step 2: Convert to fraction form
    10,494/14,483.34 = 6,301.44/x
  3. Step 3: Cross multiply
    10,494x = 14,483.34 × 6,301.44
  4. Step 4: Simplify right side
    10,494x = 91,265,898.01
  5. Step 5: Solve for x
    x = 91,265,898.01/10,494
  6. Step 6: Final answer
    x = 8,696.96

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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.