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Finding the Fourth Proportional to 9,382.36, 14,067.90 and 6,457.48

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Solution

The fourth proportional to 9,382.36, 14,067.90 and 6,457.48 is: 9,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.36 : 14,067.90 = 6,457.48 : x
  2. Step 2: Convert to fraction form
    9,382.36/14,067.90 = 6,457.48/x
  3. Step 3: Cross multiply
    9,382.36x = 14,067.90 × 6,457.48
  4. Step 4: Simplify right side
    9,382.36x = 90,843,182.89
  5. Step 5: Solve for x
    x = 90,843,182.89/9,382.36
  6. Step 6: Final answer
    x = 9,682.34

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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.