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Finding the Fourth Proportional to 9,564.62, 13,198.98 and 5,315.68

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Solution

The fourth proportional to 9,564.62, 13,198.98 and 5,315.68 is: 7,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.62 : 13,198.98 = 5,315.68 : x
  2. Step 2: Convert to fraction form
    9,564.62/13,198.98 = 5,315.68/x
  3. Step 3: Cross multiply
    9,564.62x = 13,198.98 × 5,315.68
  4. Step 4: Simplify right side
    9,564.62x = 70,161,554.01
  5. Step 5: Solve for x
    x = 70,161,554.01/9,564.62
  6. Step 6: Final answer
    x = 7,335.53

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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.