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Finding the Fourth Proportional to 8,502.66, 12,730.32 and 6,416.34

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Solution

The fourth proportional to 8,502.66, 12,730.32 and 6,416.34 is: 9,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.66 : 12,730.32 = 6,416.34 : x
  2. Step 2: Convert to fraction form
    8,502.66/12,730.32 = 6,416.34/x
  3. Step 3: Cross multiply
    8,502.66x = 12,730.32 × 6,416.34
  4. Step 4: Simplify right side
    8,502.66x = 81,682,061.43
  5. Step 5: Solve for x
    x = 81,682,061.43/8,502.66
  6. Step 6: Final answer
    x = 9,606.65

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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.