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Finding the Fourth Proportional to 9,245.39, 13,875.27 and 6,453.93

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Solution

The fourth proportional to 9,245.39, 13,875.27 and 6,453.93 is: 9,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.39 : 13,875.27 = 6,453.93 : x
  2. Step 2: Convert to fraction form
    9,245.39/13,875.27 = 6,453.93/x
  3. Step 3: Cross multiply
    9,245.39x = 13,875.27 × 6,453.93
  4. Step 4: Simplify right side
    9,245.39x = 89,550,021.31
  5. Step 5: Solve for x
    x = 89,550,021.31/9,245.39
  6. Step 6: Final answer
    x = 9,685.92

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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.