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Finding the Fourth Proportional to 9,163.19, 13,740.88 and 5,216.31

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Solution

The fourth proportional to 9,163.19, 13,740.88 and 5,216.31 is: 7,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.19 : 13,740.88 = 5,216.31 : x
  2. Step 2: Convert to fraction form
    9,163.19/13,740.88 = 5,216.31/x
  3. Step 3: Cross multiply
    9,163.19x = 13,740.88 × 5,216.31
  4. Step 4: Simplify right side
    9,163.19x = 71,676,671.51
  5. Step 5: Solve for x
    x = 71,676,671.51/9,163.19
  6. Step 6: Final answer
    x = 7,822.24

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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.