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Finding the Fourth Proportional to 6,261.16, 9,437.83 and 5,735.32

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Solution

The fourth proportional to 6,261.16, 9,437.83 and 5,735.32 is: 8,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.16 : 9,437.83 = 5,735.32 : x
  2. Step 2: Convert to fraction form
    6,261.16/9,437.83 = 5,735.32/x
  3. Step 3: Cross multiply
    6,261.16x = 9,437.83 × 5,735.32
  4. Step 4: Simplify right side
    6,261.16x = 54,128,975.16
  5. Step 5: Solve for x
    x = 54,128,975.16/6,261.16
  6. Step 6: Final answer
    x = 8,645.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.