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Finding the Fourth Proportional to 9,376.75, 14,069 and 4,109.03

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Solution

The fourth proportional to 9,376.75, 14,069 and 4,109.03 is: 6,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.75 : 14,069 = 4,109.03 : x
  2. Step 2: Convert to fraction form
    9,376.75/14,069 = 4,109.03/x
  3. Step 3: Cross multiply
    9,376.75x = 14,069 × 4,109.03
  4. Step 4: Simplify right side
    9,376.75x = 57,809,943.07
  5. Step 5: Solve for x
    x = 57,809,943.07/9,376.75
  6. Step 6: Final answer
    x = 6,165.24

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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.