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Finding the Fourth Proportional to 9,275.01, 13,914.14 and 4,080.75

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Solution

The fourth proportional to 9,275.01, 13,914.14 and 4,080.75 is: 6,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.01 : 13,914.14 = 4,080.75 : x
  2. Step 2: Convert to fraction form
    9,275.01/13,914.14 = 4,080.75/x
  3. Step 3: Cross multiply
    9,275.01x = 13,914.14 × 4,080.75
  4. Step 4: Simplify right side
    9,275.01x = 56,780,106.40
  5. Step 5: Solve for x
    x = 56,780,106.40/9,275.01
  6. Step 6: Final answer
    x = 6,121.84

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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.