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Finding the Fourth Proportional to 6,386.43, 9,578.94 and 1,706.93

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Solution

The fourth proportional to 6,386.43, 9,578.94 and 1,706.93 is: 2,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.43 : 9,578.94 = 1,706.93 : x
  2. Step 2: Convert to fraction form
    6,386.43/9,578.94 = 1,706.93/x
  3. Step 3: Cross multiply
    6,386.43x = 9,578.94 × 1,706.93
  4. Step 4: Simplify right side
    6,386.43x = 16,350,580.05
  5. Step 5: Solve for x
    x = 16,350,580.05/6,386.43
  6. Step 6: Final answer
    x = 2,560.21

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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.