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Finding the Fourth Proportional to 9,638.89, 13,302.75 and 5,447.41

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Solution

The fourth proportional to 9,638.89, 13,302.75 and 5,447.41 is: 7,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.89 : 13,302.75 = 5,447.41 : x
  2. Step 2: Convert to fraction form
    9,638.89/13,302.75 = 5,447.41/x
  3. Step 3: Cross multiply
    9,638.89x = 13,302.75 × 5,447.41
  4. Step 4: Simplify right side
    9,638.89x = 72,465,533.38
  5. Step 5: Solve for x
    x = 72,465,533.38/9,638.89
  6. Step 6: Final answer
    x = 7,518.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.