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Finding the Fourth Proportional to 9,638.10, 13,302.90 and 6,055.20

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Solution

The fourth proportional to 9,638.10, 13,302.90 and 6,055.20 is: 8,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.10 : 13,302.90 = 6,055.20 : x
  2. Step 2: Convert to fraction form
    9,638.10/13,302.90 = 6,055.20/x
  3. Step 3: Cross multiply
    9,638.10x = 13,302.90 × 6,055.20
  4. Step 4: Simplify right side
    9,638.10x = 80,551,720.08
  5. Step 5: Solve for x
    x = 80,551,720.08/9,638.10
  6. Step 6: Final answer
    x = 8,357.63

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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.