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Finding the Fourth Proportional to 6,830.68, 9,428.70 and 4,036

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Solution

The fourth proportional to 6,830.68, 9,428.70 and 4,036 is: 5,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.68 : 9,428.70 = 4,036 : x
  2. Step 2: Convert to fraction form
    6,830.68/9,428.70 = 4,036/x
  3. Step 3: Cross multiply
    6,830.68x = 9,428.70 × 4,036
  4. Step 4: Simplify right side
    6,830.68x = 38,054,233.20
  5. Step 5: Solve for x
    x = 38,054,233.20/6,830.68
  6. Step 6: Final answer
    x = 5,571.08

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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.