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Finding the Fourth Proportional to 9,509.33, 14,256.28 and 3,966.83

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Solution

The fourth proportional to 9,509.33, 14,256.28 and 3,966.83 is: 5,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.33 : 14,256.28 = 3,966.83 : x
  2. Step 2: Convert to fraction form
    9,509.33/14,256.28 = 3,966.83/x
  3. Step 3: Cross multiply
    9,509.33x = 14,256.28 × 3,966.83
  4. Step 4: Simplify right side
    9,509.33x = 56,552,239.19
  5. Step 5: Solve for x
    x = 56,552,239.19/9,509.33
  6. Step 6: Final answer
    x = 5,947.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.