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Finding the Fourth Proportional to 9,409.84, 14,120.23 and 4,215.72

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Solution

The fourth proportional to 9,409.84, 14,120.23 and 4,215.72 is: 6,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.84 : 14,120.23 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    9,409.84/14,120.23 = 4,215.72/x
  3. Step 3: Cross multiply
    9,409.84x = 14,120.23 × 4,215.72
  4. Step 4: Simplify right side
    9,409.84x = 59,526,863.24
  5. Step 5: Solve for x
    x = 59,526,863.24/9,409.84
  6. Step 6: Final answer
    x = 6,326.02

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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.