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Finding the Fourth Proportional to 6,130.27, 9,195.41 and 4,284.99

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Solution

The fourth proportional to 6,130.27, 9,195.41 and 4,284.99 is: 6,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.27 : 9,195.41 = 4,284.99 : x
  2. Step 2: Convert to fraction form
    6,130.27/9,195.41 = 4,284.99/x
  3. Step 3: Cross multiply
    6,130.27x = 9,195.41 × 4,284.99
  4. Step 4: Simplify right side
    6,130.27x = 39,402,239.90
  5. Step 5: Solve for x
    x = 39,402,239.90/6,130.27
  6. Step 6: Final answer
    x = 6,427.49

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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.