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Finding the Fourth Proportional to 9,416.44, 14,128.71 and 4,486.11

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Solution

The fourth proportional to 9,416.44, 14,128.71 and 4,486.11 is: 6,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.44 : 14,128.71 = 4,486.11 : x
  2. Step 2: Convert to fraction form
    9,416.44/14,128.71 = 4,486.11/x
  3. Step 3: Cross multiply
    9,416.44x = 14,128.71 × 4,486.11
  4. Step 4: Simplify right side
    9,416.44x = 63,382,947.22
  5. Step 5: Solve for x
    x = 63,382,947.22/9,416.44
  6. Step 6: Final answer
    x = 6,731.09

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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.