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Finding the Fourth Proportional to 9,116.43, 12,580.43 and 5,137.31

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Solution

The fourth proportional to 9,116.43, 12,580.43 and 5,137.31 is: 7,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.43 : 12,580.43 = 5,137.31 : x
  2. Step 2: Convert to fraction form
    9,116.43/12,580.43 = 5,137.31/x
  3. Step 3: Cross multiply
    9,116.43x = 12,580.43 × 5,137.31
  4. Step 4: Simplify right side
    9,116.43x = 64,629,480.25
  5. Step 5: Solve for x
    x = 64,629,480.25/9,116.43
  6. Step 6: Final answer
    x = 7,089.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.