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Finding the Fourth Proportional to 9,699.84, 13,385.79 and 5,508.09

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Solution

The fourth proportional to 9,699.84, 13,385.79 and 5,508.09 is: 7,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.84 : 13,385.79 = 5,508.09 : x
  2. Step 2: Convert to fraction form
    9,699.84/13,385.79 = 5,508.09/x
  3. Step 3: Cross multiply
    9,699.84x = 13,385.79 × 5,508.09
  4. Step 4: Simplify right side
    9,699.84x = 73,730,136.04
  5. Step 5: Solve for x
    x = 73,730,136.04/9,699.84
  6. Step 6: Final answer
    x = 7,601.17

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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.