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Finding the Fourth Proportional to 9,803.84, 13,528.91 and 5,327.49

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Solution

The fourth proportional to 9,803.84, 13,528.91 and 5,327.49 is: 7,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.84 : 13,528.91 = 5,327.49 : x
  2. Step 2: Convert to fraction form
    9,803.84/13,528.91 = 5,327.49/x
  3. Step 3: Cross multiply
    9,803.84x = 13,528.91 × 5,327.49
  4. Step 4: Simplify right side
    9,803.84x = 72,075,132.74
  5. Step 5: Solve for x
    x = 72,075,132.74/9,803.84
  6. Step 6: Final answer
    x = 7,351.72

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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.