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Finding the Fourth Proportional to 9,803.49, 13,528.79 and 5,327.24

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Solution

The fourth proportional to 9,803.49, 13,528.79 and 5,327.24 is: 7,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.49 : 13,528.79 = 5,327.24 : x
  2. Step 2: Convert to fraction form
    9,803.49/13,528.79 = 5,327.24/x
  3. Step 3: Cross multiply
    9,803.49x = 13,528.79 × 5,327.24
  4. Step 4: Simplify right side
    9,803.49x = 72,071,138.40
  5. Step 5: Solve for x
    x = 72,071,138.40/9,803.49
  6. Step 6: Final answer
    x = 7,351.58

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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.