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Finding the Fourth Proportional to 9,627.95, 14,441.31 and 4,077.83

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Solution

The fourth proportional to 9,627.95, 14,441.31 and 4,077.83 is: 6,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.95 : 14,441.31 = 4,077.83 : x
  2. Step 2: Convert to fraction form
    9,627.95/14,441.31 = 4,077.83/x
  3. Step 3: Cross multiply
    9,627.95x = 14,441.31 × 4,077.83
  4. Step 4: Simplify right side
    9,627.95x = 58,889,207.16
  5. Step 5: Solve for x
    x = 58,889,207.16/9,627.95
  6. Step 6: Final answer
    x = 6,116.48

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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.