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Finding the Fourth Proportional to 6,695.84, 9,245.94 and 4,710.80

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Solution

The fourth proportional to 6,695.84, 9,245.94 and 4,710.80 is: 6,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.84 : 9,245.94 = 4,710.80 : x
  2. Step 2: Convert to fraction form
    6,695.84/9,245.94 = 4,710.80/x
  3. Step 3: Cross multiply
    6,695.84x = 9,245.94 × 4,710.80
  4. Step 4: Simplify right side
    6,695.84x = 43,555,774.15
  5. Step 5: Solve for x
    x = 43,555,774.15/6,695.84
  6. Step 6: Final answer
    x = 6,504.90

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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.