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Finding the Fourth Proportional to 9,509.82, 14,164.44 and 9,083.40

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Solution

The fourth proportional to 9,509.82, 14,164.44 and 9,083.40 is: 13,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.82 : 14,164.44 = 9,083.40 : x
  2. Step 2: Convert to fraction form
    9,509.82/14,164.44 = 9,083.40/x
  3. Step 3: Cross multiply
    9,509.82x = 14,164.44 × 9,083.40
  4. Step 4: Simplify right side
    9,509.82x = 128,661,274.30
  5. Step 5: Solve for x
    x = 128,661,274.30/9,509.82
  6. Step 6: Final answer
    x = 13,529.31

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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.