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Finding the Fourth Proportional to 10,014.13, 13,806.95 and 6,422.76

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Solution

The fourth proportional to 10,014.13, 13,806.95 and 6,422.76 is: 8,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.13 : 13,806.95 = 6,422.76 : x
  2. Step 2: Convert to fraction form
    10,014.13/13,806.95 = 6,422.76/x
  3. Step 3: Cross multiply
    10,014.13x = 13,806.95 × 6,422.76
  4. Step 4: Simplify right side
    10,014.13x = 88,678,694.07
  5. Step 5: Solve for x
    x = 88,678,694.07/10,014.13
  6. Step 6: Final answer
    x = 8,855.36

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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.