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Finding the Fourth Proportional to 10,122.93, 13,960.52 and 6,346.47

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Solution

The fourth proportional to 10,122.93, 13,960.52 and 6,346.47 is: 8,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.93 : 13,960.52 = 6,346.47 : x
  2. Step 2: Convert to fraction form
    10,122.93/13,960.52 = 6,346.47/x
  3. Step 3: Cross multiply
    10,122.93x = 13,960.52 × 6,346.47
  4. Step 4: Simplify right side
    10,122.93x = 88,599,989.63
  5. Step 5: Solve for x
    x = 88,599,989.63/10,122.93
  6. Step 6: Final answer
    x = 8,752.41

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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.