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Finding the Fourth Proportional to 8,228.63, 12,369.68 and 6,602.96

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Solution

The fourth proportional to 8,228.63, 12,369.68 and 6,602.96 is: 9,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.63 : 12,369.68 = 6,602.96 : x
  2. Step 2: Convert to fraction form
    8,228.63/12,369.68 = 6,602.96/x
  3. Step 3: Cross multiply
    8,228.63x = 12,369.68 × 6,602.96
  4. Step 4: Simplify right side
    8,228.63x = 81,676,502.25
  5. Step 5: Solve for x
    x = 81,676,502.25/8,228.63
  6. Step 6: Final answer
    x = 9,925.89

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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.