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Finding the Fourth Proportional to 6,777.31, 9,360 and 4,658.44

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Solution

The fourth proportional to 6,777.31, 9,360 and 4,658.44 is: 6,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.31 : 9,360 = 4,658.44 : x
  2. Step 2: Convert to fraction form
    6,777.31/9,360 = 4,658.44/x
  3. Step 3: Cross multiply
    6,777.31x = 9,360 × 4,658.44
  4. Step 4: Simplify right side
    6,777.31x = 43,602,998.40
  5. Step 5: Solve for x
    x = 43,602,998.40/6,777.31
  6. Step 6: Final answer
    x = 6,433.67

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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.