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Finding the Fourth Proportional to 9,822.82, 13,555.53 and 5,346.53

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Solution

The fourth proportional to 9,822.82, 13,555.53 and 5,346.53 is: 7,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.82 : 13,555.53 = 5,346.53 : x
  2. Step 2: Convert to fraction form
    9,822.82/13,555.53 = 5,346.53/x
  3. Step 3: Cross multiply
    9,822.82x = 13,555.53 × 5,346.53
  4. Step 4: Simplify right side
    9,822.82x = 72,475,053.95
  5. Step 5: Solve for x
    x = 72,475,053.95/9,822.82
  6. Step 6: Final answer
    x = 7,378.23

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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.