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Finding the Fourth Proportional to 6,437.32, 9,649.36 and 3,658.06

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Solution

The fourth proportional to 6,437.32, 9,649.36 and 3,658.06 is: 5,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.32 : 9,649.36 = 3,658.06 : x
  2. Step 2: Convert to fraction form
    6,437.32/9,649.36 = 3,658.06/x
  3. Step 3: Cross multiply
    6,437.32x = 9,649.36 × 3,658.06
  4. Step 4: Simplify right side
    6,437.32x = 35,297,954.48
  5. Step 5: Solve for x
    x = 35,297,954.48/6,437.32
  6. Step 6: Final answer
    x = 5,483.33

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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.