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Finding the Fourth Proportional to 9,684.55, 14,508.78 and 8,134.62

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Solution

The fourth proportional to 9,684.55, 14,508.78 and 8,134.62 is: 12,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.55 : 14,508.78 = 8,134.62 : x
  2. Step 2: Convert to fraction form
    9,684.55/14,508.78 = 8,134.62/x
  3. Step 3: Cross multiply
    9,684.55x = 14,508.78 × 8,134.62
  4. Step 4: Simplify right side
    9,684.55x = 118,023,411.96
  5. Step 5: Solve for x
    x = 118,023,411.96/9,684.55
  6. Step 6: Final answer
    x = 12,186.77

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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.