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Finding the Fourth Proportional to 9,564.40, 13,198.84 and 5,315.44

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Solution

The fourth proportional to 9,564.40, 13,198.84 and 5,315.44 is: 7,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.40 : 13,198.84 = 5,315.44 : x
  2. Step 2: Convert to fraction form
    9,564.40/13,198.84 = 5,315.44/x
  3. Step 3: Cross multiply
    9,564.40x = 13,198.84 × 5,315.44
  4. Step 4: Simplify right side
    9,564.40x = 70,157,642.09
  5. Step 5: Solve for x
    x = 70,157,642.09/9,564.40
  6. Step 6: Final answer
    x = 7,335.29

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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.