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Finding the Fourth Proportional to 9,922.41, 14,893.34 and 4,731.93

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Solution

The fourth proportional to 9,922.41, 14,893.34 and 4,731.93 is: 7,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.41 : 14,893.34 = 4,731.93 : x
  2. Step 2: Convert to fraction form
    9,922.41/14,893.34 = 4,731.93/x
  3. Step 3: Cross multiply
    9,922.41x = 14,893.34 × 4,731.93
  4. Step 4: Simplify right side
    9,922.41x = 70,474,218.69
  5. Step 5: Solve for x
    x = 70,474,218.69/9,922.41
  6. Step 6: Final answer
    x = 7,102.53

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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.