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Finding the Fourth Proportional to 9,638.64, 14,457.96 and 3,403.28

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Solution

The fourth proportional to 9,638.64, 14,457.96 and 3,403.28 is: 5,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.64 : 14,457.96 = 3,403.28 : x
  2. Step 2: Convert to fraction form
    9,638.64/14,457.96 = 3,403.28/x
  3. Step 3: Cross multiply
    9,638.64x = 14,457.96 × 3,403.28
  4. Step 4: Simplify right side
    9,638.64x = 49,204,486.11
  5. Step 5: Solve for x
    x = 49,204,486.11/9,638.64
  6. Step 6: Final answer
    x = 5,104.92

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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.