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Finding the Fourth Proportional to 6,364.32, 9,536.22 and 3,444

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Solution

The fourth proportional to 6,364.32, 9,536.22 and 3,444 is: 5,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.32 : 9,536.22 = 3,444 : x
  2. Step 2: Convert to fraction form
    6,364.32/9,536.22 = 3,444/x
  3. Step 3: Cross multiply
    6,364.32x = 9,536.22 × 3,444
  4. Step 4: Simplify right side
    6,364.32x = 32,842,741.68
  5. Step 5: Solve for x
    x = 32,842,741.68/6,364.32
  6. Step 6: Final answer
    x = 5,160.45

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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.