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Finding the Fourth Proportional to 6,923.46, 9,554.25 and 3,779.64

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Solution

The fourth proportional to 6,923.46, 9,554.25 and 3,779.64 is: 5,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.46 : 9,554.25 = 3,779.64 : x
  2. Step 2: Convert to fraction form
    6,923.46/9,554.25 = 3,779.64/x
  3. Step 3: Cross multiply
    6,923.46x = 9,554.25 × 3,779.64
  4. Step 4: Simplify right side
    6,923.46x = 36,111,625.47
  5. Step 5: Solve for x
    x = 36,111,625.47/6,923.46
  6. Step 6: Final answer
    x = 5,215.84

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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.