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Finding the Fourth Proportional to 6,091.01, 9,136.44 and 1,931.01

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Solution

The fourth proportional to 6,091.01, 9,136.44 and 1,931.01 is: 2,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.01 : 9,136.44 = 1,931.01 : x
  2. Step 2: Convert to fraction form
    6,091.01/9,136.44 = 1,931.01/x
  3. Step 3: Cross multiply
    6,091.01x = 9,136.44 × 1,931.01
  4. Step 4: Simplify right side
    6,091.01x = 17,642,557.00
  5. Step 5: Solve for x
    x = 17,642,557.00/6,091.01
  6. Step 6: Final answer
    x = 2,896.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.