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Finding the Fourth Proportional to 6,693.40, 9,245.70 and 5,140.68

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Solution

The fourth proportional to 6,693.40, 9,245.70 and 5,140.68 is: 7,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.40 : 9,245.70 = 5,140.68 : x
  2. Step 2: Convert to fraction form
    6,693.40/9,245.70 = 5,140.68/x
  3. Step 3: Cross multiply
    6,693.40x = 9,245.70 × 5,140.68
  4. Step 4: Simplify right side
    6,693.40x = 47,529,185.08
  5. Step 5: Solve for x
    x = 47,529,185.08/6,693.40
  6. Step 6: Final answer
    x = 7,100.90

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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.