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Finding the Fourth Proportional to 6,646.26, 9,972.14 and 3,360.32

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Solution

The fourth proportional to 6,646.26, 9,972.14 and 3,360.32 is: 5,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.26 : 9,972.14 = 3,360.32 : x
  2. Step 2: Convert to fraction form
    6,646.26/9,972.14 = 3,360.32/x
  3. Step 3: Cross multiply
    6,646.26x = 9,972.14 × 3,360.32
  4. Step 4: Simplify right side
    6,646.26x = 33,509,514.82
  5. Step 5: Solve for x
    x = 33,509,514.82/6,646.26
  6. Step 6: Final answer
    x = 5,041.86

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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.