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Finding the Fourth Proportional to 9,509.40, 14,257.62 and 3,266.46

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Solution

The fourth proportional to 9,509.40, 14,257.62 and 3,266.46 is: 4,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.40 : 14,257.62 = 3,266.46 : x
  2. Step 2: Convert to fraction form
    9,509.40/14,257.62 = 3,266.46/x
  3. Step 3: Cross multiply
    9,509.40x = 14,257.62 × 3,266.46
  4. Step 4: Simplify right side
    9,509.40x = 46,571,945.43
  5. Step 5: Solve for x
    x = 46,571,945.43/9,509.40
  6. Step 6: Final answer
    x = 4,897.46

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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.