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Finding the Fourth Proportional to 9,820.99, 13,464.60 and 9,643.30

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Solution

The fourth proportional to 9,820.99, 13,464.60 and 9,643.30 is: 13,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.99 : 13,464.60 = 9,643.30 : x
  2. Step 2: Convert to fraction form
    9,820.99/13,464.60 = 9,643.30/x
  3. Step 3: Cross multiply
    9,820.99x = 13,464.60 × 9,643.30
  4. Step 4: Simplify right side
    9,820.99x = 129,843,107.36
  5. Step 5: Solve for x
    x = 129,843,107.36/9,820.99
  6. Step 6: Final answer
    x = 13,220.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.