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Finding the Fourth Proportional to 9,785.75, 14,676.80 and 4,520.54

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Solution

The fourth proportional to 9,785.75, 14,676.80 and 4,520.54 is: 6,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.75 : 14,676.80 = 4,520.54 : x
  2. Step 2: Convert to fraction form
    9,785.75/14,676.80 = 4,520.54/x
  3. Step 3: Cross multiply
    9,785.75x = 14,676.80 × 4,520.54
  4. Step 4: Simplify right side
    9,785.75x = 66,347,075.56
  5. Step 5: Solve for x
    x = 66,347,075.56/9,785.75
  6. Step 6: Final answer
    x = 6,779.97

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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.