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Finding the Fourth Proportional to 7,027.31, 9,698.54 and 4,508.51

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Solution

The fourth proportional to 7,027.31, 9,698.54 and 4,508.51 is: 6,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.31 : 9,698.54 = 4,508.51 : x
  2. Step 2: Convert to fraction form
    7,027.31/9,698.54 = 4,508.51/x
  3. Step 3: Cross multiply
    7,027.31x = 9,698.54 × 4,508.51
  4. Step 4: Simplify right side
    7,027.31x = 43,725,893.54
  5. Step 5: Solve for x
    x = 43,725,893.54/7,027.31
  6. Step 6: Final answer
    x = 6,222.28

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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.