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Finding the Fourth Proportional to 6,485.78, 8,950.23 and 3,967.93

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Solution

The fourth proportional to 6,485.78, 8,950.23 and 3,967.93 is: 5,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.78 : 8,950.23 = 3,967.93 : x
  2. Step 2: Convert to fraction form
    6,485.78/8,950.23 = 3,967.93/x
  3. Step 3: Cross multiply
    6,485.78x = 8,950.23 × 3,967.93
  4. Step 4: Simplify right side
    6,485.78x = 35,513,841.37
  5. Step 5: Solve for x
    x = 35,513,841.37/6,485.78
  6. Step 6: Final answer
    x = 5,475.65

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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.