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Finding the Fourth Proportional to 6,397.02, 9,594.93 and 2,014.14

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Solution

The fourth proportional to 6,397.02, 9,594.93 and 2,014.14 is: 3,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.02 : 9,594.93 = 2,014.14 : x
  2. Step 2: Convert to fraction form
    6,397.02/9,594.93 = 2,014.14/x
  3. Step 3: Cross multiply
    6,397.02x = 9,594.93 × 2,014.14
  4. Step 4: Simplify right side
    6,397.02x = 19,325,532.31
  5. Step 5: Solve for x
    x = 19,325,532.31/6,397.02
  6. Step 6: Final answer
    x = 3,021.02

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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.