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Finding the Fourth Proportional to 9,682.83, 14,515.02 and 4,128.54

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Solution

The fourth proportional to 9,682.83, 14,515.02 and 4,128.54 is: 6,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.83 : 14,515.02 = 4,128.54 : x
  2. Step 2: Convert to fraction form
    9,682.83/14,515.02 = 4,128.54/x
  3. Step 3: Cross multiply
    9,682.83x = 14,515.02 × 4,128.54
  4. Step 4: Simplify right side
    9,682.83x = 59,925,840.67
  5. Step 5: Solve for x
    x = 59,925,840.67/9,682.83
  6. Step 6: Final answer
    x = 6,188.88

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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.