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Finding the Fourth Proportional to 7,042.82, 9,714.84 and 4,524.08

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Solution

The fourth proportional to 7,042.82, 9,714.84 and 4,524.08 is: 6,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.82 : 9,714.84 = 4,524.08 : x
  2. Step 2: Convert to fraction form
    7,042.82/9,714.84 = 4,524.08/x
  3. Step 3: Cross multiply
    7,042.82x = 9,714.84 × 4,524.08
  4. Step 4: Simplify right side
    7,042.82x = 43,950,713.35
  5. Step 5: Solve for x
    x = 43,950,713.35/7,042.82
  6. Step 6: Final answer
    x = 6,240.50

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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.