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Finding the Fourth Proportional to 7,027.70, 9,698.40 and 4,044.47

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Solution

The fourth proportional to 7,027.70, 9,698.40 and 4,044.47 is: 5,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.70 : 9,698.40 = 4,044.47 : x
  2. Step 2: Convert to fraction form
    7,027.70/9,698.40 = 4,044.47/x
  3. Step 3: Cross multiply
    7,027.70x = 9,698.40 × 4,044.47
  4. Step 4: Simplify right side
    7,027.70x = 39,224,839.36
  5. Step 5: Solve for x
    x = 39,224,839.36/7,027.70
  6. Step 6: Final answer
    x = 5,581.47

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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.