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Finding the Fourth Proportional to 9,804.30, 13,523.09 and 6,446.04

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Solution

The fourth proportional to 9,804.30, 13,523.09 and 6,446.04 is: 8,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.30 : 13,523.09 = 6,446.04 : x
  2. Step 2: Convert to fraction form
    9,804.30/13,523.09 = 6,446.04/x
  3. Step 3: Cross multiply
    9,804.30x = 13,523.09 × 6,446.04
  4. Step 4: Simplify right side
    9,804.30x = 87,170,345.26
  5. Step 5: Solve for x
    x = 87,170,345.26/9,804.30
  6. Step 6: Final answer
    x = 8,891.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.