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Finding the Fourth Proportional to 9,606.23, 13,256.13 and 5,357.75

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Solution

The fourth proportional to 9,606.23, 13,256.13 and 5,357.75 is: 7,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.23 : 13,256.13 = 5,357.75 : x
  2. Step 2: Convert to fraction form
    9,606.23/13,256.13 = 5,357.75/x
  3. Step 3: Cross multiply
    9,606.23x = 13,256.13 × 5,357.75
  4. Step 4: Simplify right side
    9,606.23x = 71,023,030.51
  5. Step 5: Solve for x
    x = 71,023,030.51/9,606.23
  6. Step 6: Final answer
    x = 7,393.43

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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.