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Finding the Fourth Proportional to 9,518.56, 14,197.35 and 8,969.75

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Solution

The fourth proportional to 9,518.56, 14,197.35 and 8,969.75 is: 13,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.56 : 14,197.35 = 8,969.75 : x
  2. Step 2: Convert to fraction form
    9,518.56/14,197.35 = 8,969.75/x
  3. Step 3: Cross multiply
    9,518.56x = 14,197.35 × 8,969.75
  4. Step 4: Simplify right side
    9,518.56x = 127,346,680.16
  5. Step 5: Solve for x
    x = 127,346,680.16/9,518.56
  6. Step 6: Final answer
    x = 13,378.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.