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Finding the Fourth Proportional to 10,388.47, 14,337.21 and 6,409.48

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Solution

The fourth proportional to 10,388.47, 14,337.21 and 6,409.48 is: 8,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.47 : 14,337.21 = 6,409.48 : x
  2. Step 2: Convert to fraction form
    10,388.47/14,337.21 = 6,409.48/x
  3. Step 3: Cross multiply
    10,388.47x = 14,337.21 × 6,409.48
  4. Step 4: Simplify right side
    10,388.47x = 91,894,048.94
  5. Step 5: Solve for x
    x = 91,894,048.94/10,388.47
  6. Step 6: Final answer
    x = 8,845.78

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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.