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Finding the Fourth Proportional to 10,467.10, 14,443.94 and 9,631.18

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Solution

The fourth proportional to 10,467.10, 14,443.94 and 9,631.18 is: 13,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.10 : 14,443.94 = 9,631.18 : x
  2. Step 2: Convert to fraction form
    10,467.10/14,443.94 = 9,631.18/x
  3. Step 3: Cross multiply
    10,467.10x = 14,443.94 × 9,631.18
  4. Step 4: Simplify right side
    10,467.10x = 139,112,186.05
  5. Step 5: Solve for x
    x = 139,112,186.05/10,467.10
  6. Step 6: Final answer
    x = 13,290.42

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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.