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Finding the Fourth Proportional to 6,515.52, 9,774.09 and 2,133.42

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Solution

The fourth proportional to 6,515.52, 9,774.09 and 2,133.42 is: 3,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.52 : 9,774.09 = 2,133.42 : x
  2. Step 2: Convert to fraction form
    6,515.52/9,774.09 = 2,133.42/x
  3. Step 3: Cross multiply
    6,515.52x = 9,774.09 × 2,133.42
  4. Step 4: Simplify right side
    6,515.52x = 20,852,239.09
  5. Step 5: Solve for x
    x = 20,852,239.09/6,515.52
  6. Step 6: Final answer
    x = 3,200.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.