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Finding the Fourth Proportional to 9,956.93, 13,651.47 and 9,779.23

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Solution

The fourth proportional to 9,956.93, 13,651.47 and 9,779.23 is: 13,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.93 : 13,651.47 = 9,779.23 : x
  2. Step 2: Convert to fraction form
    9,956.93/13,651.47 = 9,779.23/x
  3. Step 3: Cross multiply
    9,956.93x = 13,651.47 × 9,779.23
  4. Step 4: Simplify right side
    9,956.93x = 133,500,882.03
  5. Step 5: Solve for x
    x = 133,500,882.03/9,956.93
  6. Step 6: Final answer
    x = 13,407.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.