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Finding the Fourth Proportional to 35,962.90, 53,944.26 and 9,667.64

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Solution

The fourth proportional to 35,962.90, 53,944.26 and 9,667.64 is: 14,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,962.90 : 53,944.26 = 9,667.64 : x
  2. Step 2: Convert to fraction form
    35,962.90/53,944.26 = 9,667.64/x
  3. Step 3: Cross multiply
    35,962.90x = 53,944.26 × 9,667.64
  4. Step 4: Simplify right side
    35,962.90x = 521,513,685.75
  5. Step 5: Solve for x
    x = 521,513,685.75/35,962.90
  6. Step 6: Final answer
    x = 14,501.44

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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.