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Finding the Fourth Proportional to 10,441.58, 14,388.17 and 9,703.44

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Solution

The fourth proportional to 10,441.58, 14,388.17 and 9,703.44 is: 13,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.58 : 14,388.17 = 9,703.44 : x
  2. Step 2: Convert to fraction form
    10,441.58/14,388.17 = 9,703.44/x
  3. Step 3: Cross multiply
    10,441.58x = 14,388.17 × 9,703.44
  4. Step 4: Simplify right side
    10,441.58x = 139,614,695.79
  5. Step 5: Solve for x
    x = 139,614,695.79/10,441.58
  6. Step 6: Final answer
    x = 13,371.04

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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.