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Finding the Fourth Proportional to 9,629.98, 14,420.31 and 6,664.32

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Solution

The fourth proportional to 9,629.98, 14,420.31 and 6,664.32 is: 9,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.98 : 14,420.31 = 6,664.32 : x
  2. Step 2: Convert to fraction form
    9,629.98/14,420.31 = 6,664.32/x
  3. Step 3: Cross multiply
    9,629.98x = 14,420.31 × 6,664.32
  4. Step 4: Simplify right side
    9,629.98x = 96,101,575.45
  5. Step 5: Solve for x
    x = 96,101,575.45/9,629.98
  6. Step 6: Final answer
    x = 9,979.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.