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Finding the Fourth Proportional to 6,338.72, 8,735.10 and 4,566.98

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Solution

The fourth proportional to 6,338.72, 8,735.10 and 4,566.98 is: 6,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.72 : 8,735.10 = 4,566.98 : x
  2. Step 2: Convert to fraction form
    6,338.72/8,735.10 = 4,566.98/x
  3. Step 3: Cross multiply
    6,338.72x = 8,735.10 × 4,566.98
  4. Step 4: Simplify right side
    6,338.72x = 39,893,027.00
  5. Step 5: Solve for x
    x = 39,893,027.00/6,338.72
  6. Step 6: Final answer
    x = 6,293.55

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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.