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Finding the Fourth Proportional to 9,282.54, 13,923.83 and 6,521.54

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Solution

The fourth proportional to 9,282.54, 13,923.83 and 6,521.54 is: 9,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.54 : 13,923.83 = 6,521.54 : x
  2. Step 2: Convert to fraction form
    9,282.54/13,923.83 = 6,521.54/x
  3. Step 3: Cross multiply
    9,282.54x = 13,923.83 × 6,521.54
  4. Step 4: Simplify right side
    9,282.54x = 90,804,865.41
  5. Step 5: Solve for x
    x = 90,804,865.41/9,282.54
  6. Step 6: Final answer
    x = 9,782.33

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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.