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Finding the Fourth Proportional to 9,627.98, 14,443.77 and 3,052.40

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Solution

The fourth proportional to 9,627.98, 14,443.77 and 3,052.40 is: 4,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.98 : 14,443.77 = 3,052.40 : x
  2. Step 2: Convert to fraction form
    9,627.98/14,443.77 = 3,052.40/x
  3. Step 3: Cross multiply
    9,627.98x = 14,443.77 × 3,052.40
  4. Step 4: Simplify right side
    9,627.98x = 44,088,163.55
  5. Step 5: Solve for x
    x = 44,088,163.55/9,627.98
  6. Step 6: Final answer
    x = 4,579.17

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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.