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Finding the Fourth Proportional to 6,537.96, 9,022.50 and 3,887.40

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Solution

The fourth proportional to 6,537.96, 9,022.50 and 3,887.40 is: 5,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.96 : 9,022.50 = 3,887.40 : x
  2. Step 2: Convert to fraction form
    6,537.96/9,022.50 = 3,887.40/x
  3. Step 3: Cross multiply
    6,537.96x = 9,022.50 × 3,887.40
  4. Step 4: Simplify right side
    6,537.96x = 35,074,066.50
  5. Step 5: Solve for x
    x = 35,074,066.50/6,537.96
  6. Step 6: Final answer
    x = 5,364.68

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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.