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Finding the Fourth Proportional to 9,798.84, 13,522.01 and 5,322.50

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Solution

The fourth proportional to 9,798.84, 13,522.01 and 5,322.50 is: 7,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.84 : 13,522.01 = 5,322.50 : x
  2. Step 2: Convert to fraction form
    9,798.84/13,522.01 = 5,322.50/x
  3. Step 3: Cross multiply
    9,798.84x = 13,522.01 × 5,322.50
  4. Step 4: Simplify right side
    9,798.84x = 71,970,898.23
  5. Step 5: Solve for x
    x = 71,970,898.23/9,798.84
  6. Step 6: Final answer
    x = 7,344.84

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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.