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Finding the Fourth Proportional to 9,565.77, 14,342.79 and 3,323.10

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Solution

The fourth proportional to 9,565.77, 14,342.79 and 3,323.10 is: 4,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.77 : 14,342.79 = 3,323.10 : x
  2. Step 2: Convert to fraction form
    9,565.77/14,342.79 = 3,323.10/x
  3. Step 3: Cross multiply
    9,565.77x = 14,342.79 × 3,323.10
  4. Step 4: Simplify right side
    9,565.77x = 47,662,525.45
  5. Step 5: Solve for x
    x = 47,662,525.45/9,565.77
  6. Step 6: Final answer
    x = 4,982.61

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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.