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Finding the Fourth Proportional to 6,870.83, 9,481.73 and 4,040.01

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Solution

The fourth proportional to 6,870.83, 9,481.73 and 4,040.01 is: 5,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.83 : 9,481.73 = 4,040.01 : x
  2. Step 2: Convert to fraction form
    6,870.83/9,481.73 = 4,040.01/x
  3. Step 3: Cross multiply
    6,870.83x = 9,481.73 × 4,040.01
  4. Step 4: Simplify right side
    6,870.83x = 38,306,263.82
  5. Step 5: Solve for x
    x = 38,306,263.82/6,870.83
  6. Step 6: Final answer
    x = 5,575.21

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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.