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Finding the Fourth Proportional to 7,014.40, 9,679.68 and 3,870.36

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Solution

The fourth proportional to 7,014.40, 9,679.68 and 3,870.36 is: 5,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.40 : 9,679.68 = 3,870.36 : x
  2. Step 2: Convert to fraction form
    7,014.40/9,679.68 = 3,870.36/x
  3. Step 3: Cross multiply
    7,014.40x = 9,679.68 × 3,870.36
  4. Step 4: Simplify right side
    7,014.40x = 37,463,846.28
  5. Step 5: Solve for x
    x = 37,463,846.28/7,014.40
  6. Step 6: Final answer
    x = 5,340.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.