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Finding the Fourth Proportional to 9,953.64, 13,736.06 and 5,477.27

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Solution

The fourth proportional to 9,953.64, 13,736.06 and 5,477.27 is: 7,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.64 : 13,736.06 = 5,477.27 : x
  2. Step 2: Convert to fraction form
    9,953.64/13,736.06 = 5,477.27/x
  3. Step 3: Cross multiply
    9,953.64x = 13,736.06 × 5,477.27
  4. Step 4: Simplify right side
    9,953.64x = 75,236,013.29
  5. Step 5: Solve for x
    x = 75,236,013.29/9,953.64
  6. Step 6: Final answer
    x = 7,558.64

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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.