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Finding the Fourth Proportional to 6,921.85, 9,548.52 and 4,684.48

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Solution

The fourth proportional to 6,921.85, 9,548.52 and 4,684.48 is: 6,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.85 : 9,548.52 = 4,684.48 : x
  2. Step 2: Convert to fraction form
    6,921.85/9,548.52 = 4,684.48/x
  3. Step 3: Cross multiply
    6,921.85x = 9,548.52 × 4,684.48
  4. Step 4: Simplify right side
    6,921.85x = 44,729,779.80
  5. Step 5: Solve for x
    x = 44,729,779.80/6,921.85
  6. Step 6: Final answer
    x = 6,462.11

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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.