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Finding the Fourth Proportional to 9,606.44, 13,256.58 and 5,415.08

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Solution

The fourth proportional to 9,606.44, 13,256.58 and 5,415.08 is: 7,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.44 : 13,256.58 = 5,415.08 : x
  2. Step 2: Convert to fraction form
    9,606.44/13,256.58 = 5,415.08/x
  3. Step 3: Cross multiply
    9,606.44x = 13,256.58 × 5,415.08
  4. Step 4: Simplify right side
    9,606.44x = 71,785,441.23
  5. Step 5: Solve for x
    x = 71,785,441.23/9,606.44
  6. Step 6: Final answer
    x = 7,472.64

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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.