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Finding the Fourth Proportional to 10,214.90, 14,094.03 and 6,234.56

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Solution

The fourth proportional to 10,214.90, 14,094.03 and 6,234.56 is: 8,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.90 : 14,094.03 = 6,234.56 : x
  2. Step 2: Convert to fraction form
    10,214.90/14,094.03 = 6,234.56/x
  3. Step 3: Cross multiply
    10,214.90x = 14,094.03 × 6,234.56
  4. Step 4: Simplify right side
    10,214.90x = 87,870,075.68
  5. Step 5: Solve for x
    x = 87,870,075.68/10,214.90
  6. Step 6: Final answer
    x = 8,602.15

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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.