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Finding the Fourth Proportional to 6,890.75, 9,437.76 and 6,486.67

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Solution

The fourth proportional to 6,890.75, 9,437.76 and 6,486.67 is: 8,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.75 : 9,437.76 = 6,486.67 : x
  2. Step 2: Convert to fraction form
    6,890.75/9,437.76 = 6,486.67/x
  3. Step 3: Cross multiply
    6,890.75x = 9,437.76 × 6,486.67
  4. Step 4: Simplify right side
    6,890.75x = 61,219,634.66
  5. Step 5: Solve for x
    x = 61,219,634.66/6,890.75
  6. Step 6: Final answer
    x = 8,884.32

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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.