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Finding the Fourth Proportional to 9,638.96, 14,454.66 and 3,397.64

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Solution

The fourth proportional to 9,638.96, 14,454.66 and 3,397.64 is: 5,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.96 : 14,454.66 = 3,397.64 : x
  2. Step 2: Convert to fraction form
    9,638.96/14,454.66 = 3,397.64/x
  3. Step 3: Cross multiply
    9,638.96x = 14,454.66 × 3,397.64
  4. Step 4: Simplify right side
    9,638.96x = 49,111,731.00
  5. Step 5: Solve for x
    x = 49,111,731.00/9,638.96
  6. Step 6: Final answer
    x = 5,095.13

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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.