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Finding the Fourth Proportional to 6,709.08, 9,258.32 and 3,725

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Solution

The fourth proportional to 6,709.08, 9,258.32 and 3,725 is: 5,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.08 : 9,258.32 = 3,725 : x
  2. Step 2: Convert to fraction form
    6,709.08/9,258.32 = 3,725/x
  3. Step 3: Cross multiply
    6,709.08x = 9,258.32 × 3,725
  4. Step 4: Simplify right side
    6,709.08x = 34,487,242
  5. Step 5: Solve for x
    x = 34,487,242/6,709.08
  6. Step 6: Final answer
    x = 5,140.38

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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.