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Finding the Fourth Proportional to 9,316.54, 13,967.52 and 5,846.50

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Solution

The fourth proportional to 9,316.54, 13,967.52 and 5,846.50 is: 8,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.54 : 13,967.52 = 5,846.50 : x
  2. Step 2: Convert to fraction form
    9,316.54/13,967.52 = 5,846.50/x
  3. Step 3: Cross multiply
    9,316.54x = 13,967.52 × 5,846.50
  4. Step 4: Simplify right side
    9,316.54x = 81,661,105.68
  5. Step 5: Solve for x
    x = 81,661,105.68/9,316.54
  6. Step 6: Final answer
    x = 8,765.18

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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.