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Finding the Fourth Proportional to 8,809.67, 13,214.51 and 6,457.43

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Solution

The fourth proportional to 8,809.67, 13,214.51 and 6,457.43 is: 9,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.67 : 13,214.51 = 6,457.43 : x
  2. Step 2: Convert to fraction form
    8,809.67/13,214.51 = 6,457.43/x
  3. Step 3: Cross multiply
    8,809.67x = 13,214.51 × 6,457.43
  4. Step 4: Simplify right side
    8,809.67x = 85,331,773.31
  5. Step 5: Solve for x
    x = 85,331,773.31/8,809.67
  6. Step 6: Final answer
    x = 9,686.15

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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.