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Finding the Fourth Proportional to 6,521.23, 9,785.09 and 4,804.03

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Solution

The fourth proportional to 6,521.23, 9,785.09 and 4,804.03 is: 7,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.23 : 9,785.09 = 4,804.03 : x
  2. Step 2: Convert to fraction form
    6,521.23/9,785.09 = 4,804.03/x
  3. Step 3: Cross multiply
    6,521.23x = 9,785.09 × 4,804.03
  4. Step 4: Simplify right side
    6,521.23x = 47,007,865.91
  5. Step 5: Solve for x
    x = 47,007,865.91/6,521.23
  6. Step 6: Final answer
    x = 7,208.44

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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.