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Finding the Fourth Proportional to 6,365.32, 9,537.72 and 3,445

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Solution

The fourth proportional to 6,365.32, 9,537.72 and 3,445 is: 5,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.32 : 9,537.72 = 3,445 : x
  2. Step 2: Convert to fraction form
    6,365.32/9,537.72 = 3,445/x
  3. Step 3: Cross multiply
    6,365.32x = 9,537.72 × 3,445
  4. Step 4: Simplify right side
    6,365.32x = 32,857,445.40
  5. Step 5: Solve for x
    x = 32,857,445.40/6,365.32
  6. Step 6: Final answer
    x = 5,161.95

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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.