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Finding the Fourth Proportional to 6,810.50, 9,392.25 and 4,417.98

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Solution

The fourth proportional to 6,810.50, 9,392.25 and 4,417.98 is: 6,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.50 : 9,392.25 = 4,417.98 : x
  2. Step 2: Convert to fraction form
    6,810.50/9,392.25 = 4,417.98/x
  3. Step 3: Cross multiply
    6,810.50x = 9,392.25 × 4,417.98
  4. Step 4: Simplify right side
    6,810.50x = 41,494,772.66
  5. Step 5: Solve for x
    x = 41,494,772.66/6,810.50
  6. Step 6: Final answer
    x = 6,092.76

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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.