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Finding the Fourth Proportional to 9,113.15, 13,669.73 and 5,214.80

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Solution

The fourth proportional to 9,113.15, 13,669.73 and 5,214.80 is: 7,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.15 : 13,669.73 = 5,214.80 : x
  2. Step 2: Convert to fraction form
    9,113.15/13,669.73 = 5,214.80/x
  3. Step 3: Cross multiply
    9,113.15x = 13,669.73 × 5,214.80
  4. Step 4: Simplify right side
    9,113.15x = 71,284,908.00
  5. Step 5: Solve for x
    x = 71,284,908.00/9,113.15
  6. Step 6: Final answer
    x = 7,822.20

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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.