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Finding the Fourth Proportional to 9,653.25, 14,479.88 and 3,409.87

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Solution

The fourth proportional to 9,653.25, 14,479.88 and 3,409.87 is: 5,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.25 : 14,479.88 = 3,409.87 : x
  2. Step 2: Convert to fraction form
    9,653.25/14,479.88 = 3,409.87/x
  3. Step 3: Cross multiply
    9,653.25x = 14,479.88 × 3,409.87
  4. Step 4: Simplify right side
    9,653.25x = 49,374,508.42
  5. Step 5: Solve for x
    x = 49,374,508.42/9,653.25
  6. Step 6: Final answer
    x = 5,114.81

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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.