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Finding the Fourth Proportional to 6,386.16, 9,568.98 and 4,193.22

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Solution

The fourth proportional to 6,386.16, 9,568.98 and 4,193.22 is: 6,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.16 : 9,568.98 = 4,193.22 : x
  2. Step 2: Convert to fraction form
    6,386.16/9,568.98 = 4,193.22/x
  3. Step 3: Cross multiply
    6,386.16x = 9,568.98 × 4,193.22
  4. Step 4: Simplify right side
    6,386.16x = 40,124,838.32
  5. Step 5: Solve for x
    x = 40,124,838.32/6,386.16
  6. Step 6: Final answer
    x = 6,283.09

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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.