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Finding the Fourth Proportional to 9,342.96, 14,014.41 and 2,768.63

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Solution

The fourth proportional to 9,342.96, 14,014.41 and 2,768.63 is: 4,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.96 : 14,014.41 = 2,768.63 : x
  2. Step 2: Convert to fraction form
    9,342.96/14,014.41 = 2,768.63/x
  3. Step 3: Cross multiply
    9,342.96x = 14,014.41 × 2,768.63
  4. Step 4: Simplify right side
    9,342.96x = 38,800,645.89
  5. Step 5: Solve for x
    x = 38,800,645.89/9,342.96
  6. Step 6: Final answer
    x = 4,152.93

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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.