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Finding the Fourth Proportional to 7,087.42, 9,779.43 and 3,943

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Solution

The fourth proportional to 7,087.42, 9,779.43 and 3,943 is: 5,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.42 : 9,779.43 = 3,943 : x
  2. Step 2: Convert to fraction form
    7,087.42/9,779.43 = 3,943/x
  3. Step 3: Cross multiply
    7,087.42x = 9,779.43 × 3,943
  4. Step 4: Simplify right side
    7,087.42x = 38,560,292.49
  5. Step 5: Solve for x
    x = 38,560,292.49/7,087.42
  6. Step 6: Final answer
    x = 5,440.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.