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Finding the Fourth Proportional to 9,416.88, 12,995.92 and 5,438.16

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Solution

The fourth proportional to 9,416.88, 12,995.92 and 5,438.16 is: 7,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.88 : 12,995.92 = 5,438.16 : x
  2. Step 2: Convert to fraction form
    9,416.88/12,995.92 = 5,438.16/x
  3. Step 3: Cross multiply
    9,416.88x = 12,995.92 × 5,438.16
  4. Step 4: Simplify right side
    9,416.88x = 70,673,892.31
  5. Step 5: Solve for x
    x = 70,673,892.31/9,416.88
  6. Step 6: Final answer
    x = 7,505.02

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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.