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Finding the Fourth Proportional to 6,953.47, 9,595.82 and 3,809.67

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Solution

The fourth proportional to 6,953.47, 9,595.82 and 3,809.67 is: 5,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.47 : 9,595.82 = 3,809.67 : x
  2. Step 2: Convert to fraction form
    6,953.47/9,595.82 = 3,809.67/x
  3. Step 3: Cross multiply
    6,953.47x = 9,595.82 × 3,809.67
  4. Step 4: Simplify right side
    6,953.47x = 36,556,907.58
  5. Step 5: Solve for x
    x = 36,556,907.58/6,953.47
  6. Step 6: Final answer
    x = 5,257.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.