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Finding the Fourth Proportional to 8,742.96, 12,056.72 and 6,851.61

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Solution

The fourth proportional to 8,742.96, 12,056.72 and 6,851.61 is: 9,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.96 : 12,056.72 = 6,851.61 : x
  2. Step 2: Convert to fraction form
    8,742.96/12,056.72 = 6,851.61/x
  3. Step 3: Cross multiply
    8,742.96x = 12,056.72 × 6,851.61
  4. Step 4: Simplify right side
    8,742.96x = 82,607,909.06
  5. Step 5: Solve for x
    x = 82,607,909.06/8,742.96
  6. Step 6: Final answer
    x = 9,448.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.