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Finding the Fourth Proportional to 9,509.67, 14,259.11 and 7,959.33

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Solution

The fourth proportional to 9,509.67, 14,259.11 and 7,959.33 is: 11,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.67 : 14,259.11 = 7,959.33 : x
  2. Step 2: Convert to fraction form
    9,509.67/14,259.11 = 7,959.33/x
  3. Step 3: Cross multiply
    9,509.67x = 14,259.11 × 7,959.33
  4. Step 4: Simplify right side
    9,509.67x = 113,492,922.20
  5. Step 5: Solve for x
    x = 113,492,922.20/9,509.67
  6. Step 6: Final answer
    x = 11,934.48

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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.