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Finding the Fourth Proportional to 6,209.46, 9,315.69 and 3,090.93

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Solution

The fourth proportional to 6,209.46, 9,315.69 and 3,090.93 is: 4,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.46 : 9,315.69 = 3,090.93 : x
  2. Step 2: Convert to fraction form
    6,209.46/9,315.69 = 3,090.93/x
  3. Step 3: Cross multiply
    6,209.46x = 9,315.69 × 3,090.93
  4. Step 4: Simplify right side
    6,209.46x = 28,794,145.69
  5. Step 5: Solve for x
    x = 28,794,145.69/6,209.46
  6. Step 6: Final answer
    x = 4,637.14

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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.