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Finding the Fourth Proportional to 9,106.92, 12,567.42 and 5,968.98

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Solution

The fourth proportional to 9,106.92, 12,567.42 and 5,968.98 is: 8,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.92 : 12,567.42 = 5,968.98 : x
  2. Step 2: Convert to fraction form
    9,106.92/12,567.42 = 5,968.98/x
  3. Step 3: Cross multiply
    9,106.92x = 12,567.42 × 5,968.98
  4. Step 4: Simplify right side
    9,106.92x = 75,014,678.63
  5. Step 5: Solve for x
    x = 75,014,678.63/9,106.92
  6. Step 6: Final answer
    x = 8,237.11

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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.