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Finding the Fourth Proportional to 9,106.94, 12,563.67 and 5,224.28

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Solution

The fourth proportional to 9,106.94, 12,563.67 and 5,224.28 is: 7,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.94 : 12,563.67 = 5,224.28 : x
  2. Step 2: Convert to fraction form
    9,106.94/12,563.67 = 5,224.28/x
  3. Step 3: Cross multiply
    9,106.94x = 12,563.67 × 5,224.28
  4. Step 4: Simplify right side
    9,106.94x = 65,636,129.91
  5. Step 5: Solve for x
    x = 65,636,129.91/9,106.94
  6. Step 6: Final answer
    x = 7,207.26

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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.