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Finding the Fourth Proportional to 6,195.70, 9,293.55 and 1,578.70

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Solution

The fourth proportional to 6,195.70, 9,293.55 and 1,578.70 is: 2,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.70 : 9,293.55 = 1,578.70 : x
  2. Step 2: Convert to fraction form
    6,195.70/9,293.55 = 1,578.70/x
  3. Step 3: Cross multiply
    6,195.70x = 9,293.55 × 1,578.70
  4. Step 4: Simplify right side
    6,195.70x = 14,671,727.39
  5. Step 5: Solve for x
    x = 14,671,727.39/6,195.70
  6. Step 6: Final answer
    x = 2,368.05

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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.