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Finding the Fourth Proportional to 10,490.94, 15,745.77 and 9,378.54

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Solution

The fourth proportional to 10,490.94, 15,745.77 and 9,378.54 is: 14,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.94 : 15,745.77 = 9,378.54 : x
  2. Step 2: Convert to fraction form
    10,490.94/15,745.77 = 9,378.54/x
  3. Step 3: Cross multiply
    10,490.94x = 15,745.77 × 9,378.54
  4. Step 4: Simplify right side
    10,490.94x = 147,672,333.78
  5. Step 5: Solve for x
    x = 147,672,333.78/10,490.94
  6. Step 6: Final answer
    x = 14,076.18

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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.