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Finding the Fourth Proportional to 35,968.65, 53,946.44 and 9,667.24

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Solution

The fourth proportional to 35,968.65, 53,946.44 and 9,667.24 is: 14,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968.65 : 53,946.44 = 9,667.24 : x
  2. Step 2: Convert to fraction form
    35,968.65/53,946.44 = 9,667.24/x
  3. Step 3: Cross multiply
    35,968.65x = 53,946.44 × 9,667.24
  4. Step 4: Simplify right side
    35,968.65x = 521,513,182.63
  5. Step 5: Solve for x
    x = 521,513,182.63/35,968.65
  6. Step 6: Final answer
    x = 14,499.10

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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.