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Finding the Fourth Proportional to 9,107.56, 12,567.86 and 5,128.44

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Solution

The fourth proportional to 9,107.56, 12,567.86 and 5,128.44 is: 7,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.56 : 12,567.86 = 5,128.44 : x
  2. Step 2: Convert to fraction form
    9,107.56/12,567.86 = 5,128.44/x
  3. Step 3: Cross multiply
    9,107.56x = 12,567.86 × 5,128.44
  4. Step 4: Simplify right side
    9,107.56x = 64,453,515.94
  5. Step 5: Solve for x
    x = 64,453,515.94/9,107.56
  6. Step 6: Final answer
    x = 7,076.92

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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.