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Finding the Fourth Proportional to 9,106.96, 13,675.80 and 8,639.32

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Solution

The fourth proportional to 9,106.96, 13,675.80 and 8,639.32 is: 12,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.96 : 13,675.80 = 8,639.32 : x
  2. Step 2: Convert to fraction form
    9,106.96/13,675.80 = 8,639.32/x
  3. Step 3: Cross multiply
    9,106.96x = 13,675.80 × 8,639.32
  4. Step 4: Simplify right side
    9,106.96x = 118,149,612.46
  5. Step 5: Solve for x
    x = 118,149,612.46/9,106.96
  6. Step 6: Final answer
    x = 12,973.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.