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Finding the Fourth Proportional to 6,535.44, 9,802.14 and 2,152.52

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Solution

The fourth proportional to 6,535.44, 9,802.14 and 2,152.52 is: 3,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.44 : 9,802.14 = 2,152.52 : x
  2. Step 2: Convert to fraction form
    6,535.44/9,802.14 = 2,152.52/x
  3. Step 3: Cross multiply
    6,535.44x = 9,802.14 × 2,152.52
  4. Step 4: Simplify right side
    6,535.44x = 21,099,302.39
  5. Step 5: Solve for x
    x = 21,099,302.39/6,535.44
  6. Step 6: Final answer
    x = 3,228.44

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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.