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Finding the Fourth Proportional to 6,655.42, 9,184.38 and 3,860.92

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Solution

The fourth proportional to 6,655.42, 9,184.38 and 3,860.92 is: 5,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.42 : 9,184.38 = 3,860.92 : x
  2. Step 2: Convert to fraction form
    6,655.42/9,184.38 = 3,860.92/x
  3. Step 3: Cross multiply
    6,655.42x = 9,184.38 × 3,860.92
  4. Step 4: Simplify right side
    6,655.42x = 35,460,156.43
  5. Step 5: Solve for x
    x = 35,460,156.43/6,655.42
  6. Step 6: Final answer
    x = 5,328.01

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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.