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Finding the Fourth Proportional to 9,495.96, 14,228.84 and 6,364.44

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Solution

The fourth proportional to 9,495.96, 14,228.84 and 6,364.44 is: 9,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.96 : 14,228.84 = 6,364.44 : x
  2. Step 2: Convert to fraction form
    9,495.96/14,228.84 = 6,364.44/x
  3. Step 3: Cross multiply
    9,495.96x = 14,228.84 × 6,364.44
  4. Step 4: Simplify right side
    9,495.96x = 90,558,527.31
  5. Step 5: Solve for x
    x = 90,558,527.31/9,495.96
  6. Step 6: Final answer
    x = 9,536.53

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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.