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Finding the Fourth Proportional to 9,808.92, 13,537.08 and 5,617.26

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Solution

The fourth proportional to 9,808.92, 13,537.08 and 5,617.26 is: 7,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.92 : 13,537.08 = 5,617.26 : x
  2. Step 2: Convert to fraction form
    9,808.92/13,537.08 = 5,617.26/x
  3. Step 3: Cross multiply
    9,808.92x = 13,537.08 × 5,617.26
  4. Step 4: Simplify right side
    9,808.92x = 76,041,298.00
  5. Step 5: Solve for x
    x = 76,041,298.00/9,808.92
  6. Step 6: Final answer
    x = 7,752.26

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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.