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Finding the Fourth Proportional to 6,876.98, 9,490.40 and 4,222.88

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Solution

The fourth proportional to 6,876.98, 9,490.40 and 4,222.88 is: 5,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.98 : 9,490.40 = 4,222.88 : x
  2. Step 2: Convert to fraction form
    6,876.98/9,490.40 = 4,222.88/x
  3. Step 3: Cross multiply
    6,876.98x = 9,490.40 × 4,222.88
  4. Step 4: Simplify right side
    6,876.98x = 40,076,820.35
  5. Step 5: Solve for x
    x = 40,076,820.35/6,876.98
  6. Step 6: Final answer
    x = 5,827.68

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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.