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Finding the Fourth Proportional to 8,967.86, 13,457.40 and 3,421.68

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Solution

The fourth proportional to 8,967.86, 13,457.40 and 3,421.68 is: 5,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.86 : 13,457.40 = 3,421.68 : x
  2. Step 2: Convert to fraction form
    8,967.86/13,457.40 = 3,421.68/x
  3. Step 3: Cross multiply
    8,967.86x = 13,457.40 × 3,421.68
  4. Step 4: Simplify right side
    8,967.86x = 46,046,916.43
  5. Step 5: Solve for x
    x = 46,046,916.43/8,967.86
  6. Step 6: Final answer
    x = 5,134.66

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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.