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Finding the Fourth Proportional to 7,036.82, 9,710.54 and 3,893.06

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Solution

The fourth proportional to 7,036.82, 9,710.54 and 3,893.06 is: 5,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.82 : 9,710.54 = 3,893.06 : x
  2. Step 2: Convert to fraction form
    7,036.82/9,710.54 = 3,893.06/x
  3. Step 3: Cross multiply
    7,036.82x = 9,710.54 × 3,893.06
  4. Step 4: Simplify right side
    7,036.82x = 37,803,714.85
  5. Step 5: Solve for x
    x = 37,803,714.85/7,036.82
  6. Step 6: Final answer
    x = 5,372.27

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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.