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Finding the Fourth Proportional to 9,416.54, 12,995.28 and 5,438.02

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Solution

The fourth proportional to 9,416.54, 12,995.28 and 5,438.02 is: 7,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.54 : 12,995.28 = 5,438.02 : x
  2. Step 2: Convert to fraction form
    9,416.54/12,995.28 = 5,438.02/x
  3. Step 3: Cross multiply
    9,416.54x = 12,995.28 × 5,438.02
  4. Step 4: Simplify right side
    9,416.54x = 70,668,560.06
  5. Step 5: Solve for x
    x = 70,668,560.06/9,416.54
  6. Step 6: Final answer
    x = 7,504.73

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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.