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Finding the Fourth Proportional to 9,803.84, 13,529.25 and 5,327.51

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Solution

The fourth proportional to 9,803.84, 13,529.25 and 5,327.51 is: 7,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.84 : 13,529.25 = 5,327.51 : x
  2. Step 2: Convert to fraction form
    9,803.84/13,529.25 = 5,327.51/x
  3. Step 3: Cross multiply
    9,803.84x = 13,529.25 × 5,327.51
  4. Step 4: Simplify right side
    9,803.84x = 72,077,147.02
  5. Step 5: Solve for x
    x = 72,077,147.02/9,803.84
  6. Step 6: Final answer
    x = 7,351.93

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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.