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Finding the Fourth Proportional to 9,560.57, 14,338.22 and 6,779.03

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Solution

The fourth proportional to 9,560.57, 14,338.22 and 6,779.03 is: 10,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.57 : 14,338.22 = 6,779.03 : x
  2. Step 2: Convert to fraction form
    9,560.57/14,338.22 = 6,779.03/x
  3. Step 3: Cross multiply
    9,560.57x = 14,338.22 × 6,779.03
  4. Step 4: Simplify right side
    9,560.57x = 97,199,117.94
  5. Step 5: Solve for x
    x = 97,199,117.94/9,560.57
  6. Step 6: Final answer
    x = 10,166.67

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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.