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Finding the Fourth Proportional to 9,638.80, 14,429.40 and 5,741.20

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Solution

The fourth proportional to 9,638.80, 14,429.40 and 5,741.20 is: 8,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.80 : 14,429.40 = 5,741.20 : x
  2. Step 2: Convert to fraction form
    9,638.80/14,429.40 = 5,741.20/x
  3. Step 3: Cross multiply
    9,638.80x = 14,429.40 × 5,741.20
  4. Step 4: Simplify right side
    9,638.80x = 82,842,071.28
  5. Step 5: Solve for x
    x = 82,842,071.28/9,638.80
  6. Step 6: Final answer
    x = 8,594.65

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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.