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Finding the Fourth Proportional to 10,048.34, 13,873.01 and 6,469.52

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Solution

The fourth proportional to 10,048.34, 13,873.01 and 6,469.52 is: 8,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.34 : 13,873.01 = 6,469.52 : x
  2. Step 2: Convert to fraction form
    10,048.34/13,873.01 = 6,469.52/x
  3. Step 3: Cross multiply
    10,048.34x = 13,873.01 × 6,469.52
  4. Step 4: Simplify right side
    10,048.34x = 89,751,691.98
  5. Step 5: Solve for x
    x = 89,751,691.98/10,048.34
  6. Step 6: Final answer
    x = 8,931.99

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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.