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Finding the Fourth Proportional to 6,567.35, 9,064.12 and 3,914.93

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Solution

The fourth proportional to 6,567.35, 9,064.12 and 3,914.93 is: 5,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.35 : 9,064.12 = 3,914.93 : x
  2. Step 2: Convert to fraction form
    6,567.35/9,064.12 = 3,914.93/x
  3. Step 3: Cross multiply
    6,567.35x = 9,064.12 × 3,914.93
  4. Step 4: Simplify right side
    6,567.35x = 35,485,408.18
  5. Step 5: Solve for x
    x = 35,485,408.18/6,567.35
  6. Step 6: Final answer
    x = 5,403.30

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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.