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Finding the Fourth Proportional to 9,704.72, 14,559.36 and 2,779.04

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Solution

The fourth proportional to 9,704.72, 14,559.36 and 2,779.04 is: 4,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.72 : 14,559.36 = 2,779.04 : x
  2. Step 2: Convert to fraction form
    9,704.72/14,559.36 = 2,779.04/x
  3. Step 3: Cross multiply
    9,704.72x = 14,559.36 × 2,779.04
  4. Step 4: Simplify right side
    9,704.72x = 40,461,043.81
  5. Step 5: Solve for x
    x = 40,461,043.81/9,704.72
  6. Step 6: Final answer
    x = 4,169.21

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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.