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Finding the Fourth Proportional to 9,357.45, 14,040.54 and 4,091.77

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Solution

The fourth proportional to 9,357.45, 14,040.54 and 4,091.77 is: 6,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.45 : 14,040.54 = 4,091.77 : x
  2. Step 2: Convert to fraction form
    9,357.45/14,040.54 = 4,091.77/x
  3. Step 3: Cross multiply
    9,357.45x = 14,040.54 × 4,091.77
  4. Step 4: Simplify right side
    9,357.45x = 57,450,660.36
  5. Step 5: Solve for x
    x = 57,450,660.36/9,357.45
  6. Step 6: Final answer
    x = 6,139.57

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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.