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Finding the Fourth Proportional to 6,367.32, 9,547.85 and 3,739.94

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Solution

The fourth proportional to 6,367.32, 9,547.85 and 3,739.94 is: 5,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.32 : 9,547.85 = 3,739.94 : x
  2. Step 2: Convert to fraction form
    6,367.32/9,547.85 = 3,739.94/x
  3. Step 3: Cross multiply
    6,367.32x = 9,547.85 × 3,739.94
  4. Step 4: Simplify right side
    6,367.32x = 35,708,386.13
  5. Step 5: Solve for x
    x = 35,708,386.13/6,367.32
  6. Step 6: Final answer
    x = 5,608.07

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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.