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Finding the Fourth Proportional to 6,914.40, 9,537.02 and 4,263.26

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Solution

The fourth proportional to 6,914.40, 9,537.02 and 4,263.26 is: 5,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.40 : 9,537.02 = 4,263.26 : x
  2. Step 2: Convert to fraction form
    6,914.40/9,537.02 = 4,263.26/x
  3. Step 3: Cross multiply
    6,914.40x = 9,537.02 × 4,263.26
  4. Step 4: Simplify right side
    6,914.40x = 40,658,795.89
  5. Step 5: Solve for x
    x = 40,658,795.89/6,914.40
  6. Step 6: Final answer
    x = 5,880.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.