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Finding the Fourth Proportional to 9,433.76, 13,016.50 and 5,454.18

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Solution

The fourth proportional to 9,433.76, 13,016.50 and 5,454.18 is: 7,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.76 : 13,016.50 = 5,454.18 : x
  2. Step 2: Convert to fraction form
    9,433.76/13,016.50 = 5,454.18/x
  3. Step 3: Cross multiply
    9,433.76x = 13,016.50 × 5,454.18
  4. Step 4: Simplify right side
    9,433.76x = 70,994,333.97
  5. Step 5: Solve for x
    x = 70,994,333.97/9,433.76
  6. Step 6: Final answer
    x = 7,525.56

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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.