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Finding the Fourth Proportional to 9,310.80, 13,938.48 and 6,014.28

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Solution

The fourth proportional to 9,310.80, 13,938.48 and 6,014.28 is: 9,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.80 : 13,938.48 = 6,014.28 : x
  2. Step 2: Convert to fraction form
    9,310.80/13,938.48 = 6,014.28/x
  3. Step 3: Cross multiply
    9,310.80x = 13,938.48 × 6,014.28
  4. Step 4: Simplify right side
    9,310.80x = 83,829,921.49
  5. Step 5: Solve for x
    x = 83,829,921.49/9,310.80
  6. Step 6: Final answer
    x = 9,003.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.