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Finding the Fourth Proportional to 9,914.88, 14,873.12 and 4,071.54

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Solution

The fourth proportional to 9,914.88, 14,873.12 and 4,071.54 is: 6,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.88 : 14,873.12 = 4,071.54 : x
  2. Step 2: Convert to fraction form
    9,914.88/14,873.12 = 4,071.54/x
  3. Step 3: Cross multiply
    9,914.88x = 14,873.12 × 4,071.54
  4. Step 4: Simplify right side
    9,914.88x = 60,556,503.00
  5. Step 5: Solve for x
    x = 60,556,503.00/9,914.88
  6. Step 6: Final answer
    x = 6,107.64

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Why These Related Problems?

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