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Finding the Fourth Proportional to 9,565.50, 14,348.79 and 3,409.50

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Solution

The fourth proportional to 9,565.50, 14,348.79 and 3,409.50 is: 5,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.50 : 14,348.79 = 3,409.50 : x
  2. Step 2: Convert to fraction form
    9,565.50/14,348.79 = 3,409.50/x
  3. Step 3: Cross multiply
    9,565.50x = 14,348.79 × 3,409.50
  4. Step 4: Simplify right side
    9,565.50x = 48,922,199.51
  5. Step 5: Solve for x
    x = 48,922,199.51/9,565.50
  6. Step 6: Final answer
    x = 5,114.44

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Why These Related Problems?

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