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Finding the Fourth Proportional to 7,969.15, 10,997.14 and 4,432.29

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Solution

The fourth proportional to 7,969.15, 10,997.14 and 4,432.29 is: 6,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.15 : 10,997.14 = 4,432.29 : x
  2. Step 2: Convert to fraction form
    7,969.15/10,997.14 = 4,432.29/x
  3. Step 3: Cross multiply
    7,969.15x = 10,997.14 × 4,432.29
  4. Step 4: Simplify right side
    7,969.15x = 48,742,513.65
  5. Step 5: Solve for x
    x = 48,742,513.65/7,969.15
  6. Step 6: Final answer
    x = 6,116.40

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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.