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Finding the Fourth Proportional to 10,192.78, 14,075.02 and 6,422.68

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Solution

The fourth proportional to 10,192.78, 14,075.02 and 6,422.68 is: 8,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.78 : 14,075.02 = 6,422.68 : x
  2. Step 2: Convert to fraction form
    10,192.78/14,075.02 = 6,422.68/x
  3. Step 3: Cross multiply
    10,192.78x = 14,075.02 × 6,422.68
  4. Step 4: Simplify right side
    10,192.78x = 90,399,349.45
  5. Step 5: Solve for x
    x = 90,399,349.45/10,192.78
  6. Step 6: Final answer
    x = 8,868.96

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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.