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Finding the Fourth Proportional to 9,509.70, 14,272.65 and 4,252.80

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Solution

The fourth proportional to 9,509.70, 14,272.65 and 4,252.80 is: 6,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.70 : 14,272.65 = 4,252.80 : x
  2. Step 2: Convert to fraction form
    9,509.70/14,272.65 = 4,252.80/x
  3. Step 3: Cross multiply
    9,509.70x = 14,272.65 × 4,252.80
  4. Step 4: Simplify right side
    9,509.70x = 60,698,725.92
  5. Step 5: Solve for x
    x = 60,698,725.92/9,509.70
  6. Step 6: Final answer
    x = 6,382.82

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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.