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Finding the Fourth Proportional to 7,969.41, 10,997.64 and 4,432.59

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Solution

The fourth proportional to 7,969.41, 10,997.64 and 4,432.59 is: 6,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.41 : 10,997.64 = 4,432.59 : x
  2. Step 2: Convert to fraction form
    7,969.41/10,997.64 = 4,432.59/x
  3. Step 3: Cross multiply
    7,969.41x = 10,997.64 × 4,432.59
  4. Step 4: Simplify right side
    7,969.41x = 48,748,029.09
  5. Step 5: Solve for x
    x = 48,748,029.09/7,969.41
  6. Step 6: Final answer
    x = 6,116.89

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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.