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Finding the Fourth Proportional to 9,798.30, 13,521.62 and 5,322.02

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Solution

The fourth proportional to 9,798.30, 13,521.62 and 5,322.02 is: 7,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.30 : 13,521.62 = 5,322.02 : x
  2. Step 2: Convert to fraction form
    9,798.30/13,521.62 = 5,322.02/x
  3. Step 3: Cross multiply
    9,798.30x = 13,521.62 × 5,322.02
  4. Step 4: Simplify right side
    9,798.30x = 71,962,237.85
  5. Step 5: Solve for x
    x = 71,962,237.85/9,798.30
  6. Step 6: Final answer
    x = 7,344.36

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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.