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Finding the Fourth Proportional to 9,468.92, 13,050.78 and 7,106.96

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Solution

The fourth proportional to 9,468.92, 13,050.78 and 7,106.96 is: 9,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.92 : 13,050.78 = 7,106.96 : x
  2. Step 2: Convert to fraction form
    9,468.92/13,050.78 = 7,106.96/x
  3. Step 3: Cross multiply
    9,468.92x = 13,050.78 × 7,106.96
  4. Step 4: Simplify right side
    9,468.92x = 92,751,371.43
  5. Step 5: Solve for x
    x = 92,751,371.43/9,468.92
  6. Step 6: Final answer
    x = 9,795.35

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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.