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Finding the Fourth Proportional to 6,857.29, 9,463.23 and 4,206.16

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Solution

The fourth proportional to 6,857.29, 9,463.23 and 4,206.16 is: 5,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.29 : 9,463.23 = 4,206.16 : x
  2. Step 2: Convert to fraction form
    6,857.29/9,463.23 = 4,206.16/x
  3. Step 3: Cross multiply
    6,857.29x = 9,463.23 × 4,206.16
  4. Step 4: Simplify right side
    6,857.29x = 39,803,859.50
  5. Step 5: Solve for x
    x = 39,803,859.50/6,857.29
  6. Step 6: Final answer
    x = 5,804.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.