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Finding the Fourth Proportional to 9,813.72, 13,548.52 and 6,466.26

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Solution

The fourth proportional to 9,813.72, 13,548.52 and 6,466.26 is: 8,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.72 : 13,548.52 = 6,466.26 : x
  2. Step 2: Convert to fraction form
    9,813.72/13,548.52 = 6,466.26/x
  3. Step 3: Cross multiply
    9,813.72x = 13,548.52 × 6,466.26
  4. Step 4: Simplify right side
    9,813.72x = 87,608,252.94
  5. Step 5: Solve for x
    x = 87,608,252.94/9,813.72
  6. Step 6: Final answer
    x = 8,927.12

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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.