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Finding the Fourth Proportional to 6,328.22, 8,726.45 and 4,202.98

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Solution

The fourth proportional to 6,328.22, 8,726.45 and 4,202.98 is: 5,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.22 : 8,726.45 = 4,202.98 : x
  2. Step 2: Convert to fraction form
    6,328.22/8,726.45 = 4,202.98/x
  3. Step 3: Cross multiply
    6,328.22x = 8,726.45 × 4,202.98
  4. Step 4: Simplify right side
    6,328.22x = 36,677,094.82
  5. Step 5: Solve for x
    x = 36,677,094.82/6,328.22
  6. Step 6: Final answer
    x = 5,795.80

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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.