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Finding the Fourth Proportional to 6,195.88, 9,294 and 1,578.88

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Solution

The fourth proportional to 6,195.88, 9,294 and 1,578.88 is: 2,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.88 : 9,294 = 1,578.88 : x
  2. Step 2: Convert to fraction form
    6,195.88/9,294 = 1,578.88/x
  3. Step 3: Cross multiply
    6,195.88x = 9,294 × 1,578.88
  4. Step 4: Simplify right side
    6,195.88x = 14,674,110.72
  5. Step 5: Solve for x
    x = 14,674,110.72/6,195.88
  6. Step 6: Final answer
    x = 2,368.37

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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.