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Finding the Fourth Proportional to 6,498.42, 8,967.27 and 3,845.36

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Solution

The fourth proportional to 6,498.42, 8,967.27 and 3,845.36 is: 5,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.42 : 8,967.27 = 3,845.36 : x
  2. Step 2: Convert to fraction form
    6,498.42/8,967.27 = 3,845.36/x
  3. Step 3: Cross multiply
    6,498.42x = 8,967.27 × 3,845.36
  4. Step 4: Simplify right side
    6,498.42x = 34,482,381.37
  5. Step 5: Solve for x
    x = 34,482,381.37/6,498.42
  6. Step 6: Final answer
    x = 5,306.27

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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.