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Finding the Fourth Proportional to 9,627.30, 14,441.46 and 3,054

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Solution

The fourth proportional to 9,627.30, 14,441.46 and 3,054 is: 4,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.30 : 14,441.46 = 3,054 : x
  2. Step 2: Convert to fraction form
    9,627.30/14,441.46 = 3,054/x
  3. Step 3: Cross multiply
    9,627.30x = 14,441.46 × 3,054
  4. Step 4: Simplify right side
    9,627.30x = 44,104,218.84
  5. Step 5: Solve for x
    x = 44,104,218.84/9,627.30
  6. Step 6: Final answer
    x = 4,581.16

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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.