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Finding the Fourth Proportional to 9,843.61, 14,790.93 and 7,401.46

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Solution

The fourth proportional to 9,843.61, 14,790.93 and 7,401.46 is: 11,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.61 : 14,790.93 = 7,401.46 : x
  2. Step 2: Convert to fraction form
    9,843.61/14,790.93 = 7,401.46/x
  3. Step 3: Cross multiply
    9,843.61x = 14,790.93 × 7,401.46
  4. Step 4: Simplify right side
    9,843.61x = 109,474,476.76
  5. Step 5: Solve for x
    x = 109,474,476.76/9,843.61
  6. Step 6: Final answer
    x = 11,121.37

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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.