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Finding the Fourth Proportional to 9,638.88, 14,458.73 and 3,065.54

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Solution

The fourth proportional to 9,638.88, 14,458.73 and 3,065.54 is: 4,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.88 : 14,458.73 = 3,065.54 : x
  2. Step 2: Convert to fraction form
    9,638.88/14,458.73 = 3,065.54/x
  3. Step 3: Cross multiply
    9,638.88x = 14,458.73 × 3,065.54
  4. Step 4: Simplify right side
    9,638.88x = 44,323,727.54
  5. Step 5: Solve for x
    x = 44,323,727.54/9,638.88
  6. Step 6: Final answer
    x = 4,598.43

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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.