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Finding the Fourth Proportional to 9,396.51, 13,987.38 and 9,256.36

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Solution

The fourth proportional to 9,396.51, 13,987.38 and 9,256.36 is: 13,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.51 : 13,987.38 = 9,256.36 : x
  2. Step 2: Convert to fraction form
    9,396.51/13,987.38 = 9,256.36/x
  3. Step 3: Cross multiply
    9,396.51x = 13,987.38 × 9,256.36
  4. Step 4: Simplify right side
    9,396.51x = 129,472,309.72
  5. Step 5: Solve for x
    x = 129,472,309.72/9,396.51
  6. Step 6: Final answer
    x = 13,778.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.