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Finding the Fourth Proportional to 9,802.75, 13,526.31 and 5,553.57

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Solution

The fourth proportional to 9,802.75, 13,526.31 and 5,553.57 is: 7,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.75 : 13,526.31 = 5,553.57 : x
  2. Step 2: Convert to fraction form
    9,802.75/13,526.31 = 5,553.57/x
  3. Step 3: Cross multiply
    9,802.75x = 13,526.31 × 5,553.57
  4. Step 4: Simplify right side
    9,802.75x = 75,119,309.43
  5. Step 5: Solve for x
    x = 75,119,309.43/9,802.75
  6. Step 6: Final answer
    x = 7,663.09

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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.