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Finding the Fourth Proportional to 6,101.04, 9,151.74 and 4,783.56

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Solution

The fourth proportional to 6,101.04, 9,151.74 and 4,783.56 is: 7,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.04 : 9,151.74 = 4,783.56 : x
  2. Step 2: Convert to fraction form
    6,101.04/9,151.74 = 4,783.56/x
  3. Step 3: Cross multiply
    6,101.04x = 9,151.74 × 4,783.56
  4. Step 4: Simplify right side
    6,101.04x = 43,777,897.39
  5. Step 5: Solve for x
    x = 43,777,897.39/6,101.04
  6. Step 6: Final answer
    x = 7,175.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.