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Finding the Fourth Proportional to 10,012.42, 14,994.42 and 9,749.98

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Solution

The fourth proportional to 10,012.42, 14,994.42 and 9,749.98 is: 14,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.42 : 14,994.42 = 9,749.98 : x
  2. Step 2: Convert to fraction form
    10,012.42/14,994.42 = 9,749.98/x
  3. Step 3: Cross multiply
    10,012.42x = 14,994.42 × 9,749.98
  4. Step 4: Simplify right side
    10,012.42x = 146,195,295.11
  5. Step 5: Solve for x
    x = 146,195,295.11/10,012.42
  6. Step 6: Final answer
    x = 14,601.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.