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Finding the Fourth Proportional to 6,698.76, 9,245.67 and 4,460.73

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Solution

The fourth proportional to 6,698.76, 9,245.67 and 4,460.73 is: 6,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.76 : 9,245.67 = 4,460.73 : x
  2. Step 2: Convert to fraction form
    6,698.76/9,245.67 = 4,460.73/x
  3. Step 3: Cross multiply
    6,698.76x = 9,245.67 × 4,460.73
  4. Step 4: Simplify right side
    6,698.76x = 41,242,437.54
  5. Step 5: Solve for x
    x = 41,242,437.54/6,698.76
  6. Step 6: Final answer
    x = 6,156.73

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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.