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Finding the Fourth Proportional to 9,580.51, 14,380.17 and 6,295.96

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Solution

The fourth proportional to 9,580.51, 14,380.17 and 6,295.96 is: 9,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.51 : 14,380.17 = 6,295.96 : x
  2. Step 2: Convert to fraction form
    9,580.51/14,380.17 = 6,295.96/x
  3. Step 3: Cross multiply
    9,580.51x = 14,380.17 × 6,295.96
  4. Step 4: Simplify right side
    9,580.51x = 90,536,975.11
  5. Step 5: Solve for x
    x = 90,536,975.11/9,580.51
  6. Step 6: Final answer
    x = 9,450.12

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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.