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Finding the Fourth Proportional to 7,014.44, 9,679.74 and 3,870.60

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Solution

The fourth proportional to 7,014.44, 9,679.74 and 3,870.60 is: 5,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.44 : 9,679.74 = 3,870.60 : x
  2. Step 2: Convert to fraction form
    7,014.44/9,679.74 = 3,870.60/x
  3. Step 3: Cross multiply
    7,014.44x = 9,679.74 × 3,870.60
  4. Step 4: Simplify right side
    7,014.44x = 37,466,401.64
  5. Step 5: Solve for x
    x = 37,466,401.64/7,014.44
  6. Step 6: Final answer
    x = 5,341.32

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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.