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Finding the Fourth Proportional to 6,094.74, 9,139.86 and 2,973.84

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Solution

The fourth proportional to 6,094.74, 9,139.86 and 2,973.84 is: 4,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.74 : 9,139.86 = 2,973.84 : x
  2. Step 2: Convert to fraction form
    6,094.74/9,139.86 = 2,973.84/x
  3. Step 3: Cross multiply
    6,094.74x = 9,139.86 × 2,973.84
  4. Step 4: Simplify right side
    6,094.74x = 27,180,481.26
  5. Step 5: Solve for x
    x = 27,180,481.26/6,094.74
  6. Step 6: Final answer
    x = 4,459.66

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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.