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Finding the Fourth Proportional to 7,009.63, 9,673.33 and 3,865.82

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Solution

The fourth proportional to 7,009.63, 9,673.33 and 3,865.82 is: 5,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.63 : 9,673.33 = 3,865.82 : x
  2. Step 2: Convert to fraction form
    7,009.63/9,673.33 = 3,865.82/x
  3. Step 3: Cross multiply
    7,009.63x = 9,673.33 × 3,865.82
  4. Step 4: Simplify right side
    7,009.63x = 37,395,352.58
  5. Step 5: Solve for x
    x = 37,395,352.58/7,009.63
  6. Step 6: Final answer
    x = 5,334.85

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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.