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Finding the Fourth Proportional to 9,955.33, 13,738.42 and 5,478.96

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Solution

The fourth proportional to 9,955.33, 13,738.42 and 5,478.96 is: 7,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.33 : 13,738.42 = 5,478.96 : x
  2. Step 2: Convert to fraction form
    9,955.33/13,738.42 = 5,478.96/x
  3. Step 3: Cross multiply
    9,955.33x = 13,738.42 × 5,478.96
  4. Step 4: Simplify right side
    9,955.33x = 75,272,253.64
  5. Step 5: Solve for x
    x = 75,272,253.64/9,955.33
  6. Step 6: Final answer
    x = 7,561.00

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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.