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Finding the Fourth Proportional to 7,014.30, 9,679.87 and 3,870.48

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Solution

The fourth proportional to 7,014.30, 9,679.87 and 3,870.48 is: 5,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.30 : 9,679.87 = 3,870.48 : x
  2. Step 2: Convert to fraction form
    7,014.30/9,679.87 = 3,870.48/x
  3. Step 3: Cross multiply
    7,014.30x = 9,679.87 × 3,870.48
  4. Step 4: Simplify right side
    7,014.30x = 37,465,784.38
  5. Step 5: Solve for x
    x = 37,465,784.38/7,014.30
  6. Step 6: Final answer
    x = 5,341.35

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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.