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Finding the Fourth Proportional to 7,004.21, 9,669.77 and 4,649.57

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Solution

The fourth proportional to 7,004.21, 9,669.77 and 4,649.57 is: 6,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.21 : 9,669.77 = 4,649.57 : x
  2. Step 2: Convert to fraction form
    7,004.21/9,669.77 = 4,649.57/x
  3. Step 3: Cross multiply
    7,004.21x = 9,669.77 × 4,649.57
  4. Step 4: Simplify right side
    7,004.21x = 44,960,249.25
  5. Step 5: Solve for x
    x = 44,960,249.25/7,004.21
  6. Step 6: Final answer
    x = 6,419.03

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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.