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Finding the Fourth Proportional to 9,416.36, 12,993.54 and 5,638.80

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Solution

The fourth proportional to 9,416.36, 12,993.54 and 5,638.80 is: 7,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.36 : 12,993.54 = 5,638.80 : x
  2. Step 2: Convert to fraction form
    9,416.36/12,993.54 = 5,638.80/x
  3. Step 3: Cross multiply
    9,416.36x = 12,993.54 × 5,638.80
  4. Step 4: Simplify right side
    9,416.36x = 73,267,973.35
  5. Step 5: Solve for x
    x = 73,267,973.35/9,416.36
  6. Step 6: Final answer
    x = 7,780.92

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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.