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Finding the Fourth Proportional to 6,293.62, 9,427.47 and 3,695.14

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Solution

The fourth proportional to 6,293.62, 9,427.47 and 3,695.14 is: 5,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.62 : 9,427.47 = 3,695.14 : x
  2. Step 2: Convert to fraction form
    6,293.62/9,427.47 = 3,695.14/x
  3. Step 3: Cross multiply
    6,293.62x = 9,427.47 × 3,695.14
  4. Step 4: Simplify right side
    6,293.62x = 34,835,821.50
  5. Step 5: Solve for x
    x = 34,835,821.50/6,293.62
  6. Step 6: Final answer
    x = 5,535.10

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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.