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Finding the Fourth Proportional to 8,965.86, 13,448.66 and 4,032

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Solution

The fourth proportional to 8,965.86, 13,448.66 and 4,032 is: 6,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.86 : 13,448.66 = 4,032 : x
  2. Step 2: Convert to fraction form
    8,965.86/13,448.66 = 4,032/x
  3. Step 3: Cross multiply
    8,965.86x = 13,448.66 × 4,032
  4. Step 4: Simplify right side
    8,965.86x = 54,224,997.12
  5. Step 5: Solve for x
    x = 54,224,997.12/8,965.86
  6. Step 6: Final answer
    x = 6,047.94

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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.