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Finding the Fourth Proportional to 9,969.30, 13,756.86 and 5,988.96

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Solution

The fourth proportional to 9,969.30, 13,756.86 and 5,988.96 is: 8,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.30 : 13,756.86 = 5,988.96 : x
  2. Step 2: Convert to fraction form
    9,969.30/13,756.86 = 5,988.96/x
  3. Step 3: Cross multiply
    9,969.30x = 13,756.86 × 5,988.96
  4. Step 4: Simplify right side
    9,969.30x = 82,389,284.27
  5. Step 5: Solve for x
    x = 82,389,284.27/9,969.30
  6. Step 6: Final answer
    x = 8,264.30

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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.