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Finding the Fourth Proportional to 7,669.40, 10,559.50 and 6,968.67

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Solution

The fourth proportional to 7,669.40, 10,559.50 and 6,968.67 is: 9,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.40 : 10,559.50 = 6,968.67 : x
  2. Step 2: Convert to fraction form
    7,669.40/10,559.50 = 6,968.67/x
  3. Step 3: Cross multiply
    7,669.40x = 10,559.50 × 6,968.67
  4. Step 4: Simplify right side
    7,669.40x = 73,585,670.87
  5. Step 5: Solve for x
    x = 73,585,670.87/7,669.40
  6. Step 6: Final answer
    x = 9,594.71

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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.