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Finding the Fourth Proportional to 8,429.57, 12,613.76 and 6,094.25

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Solution

The fourth proportional to 8,429.57, 12,613.76 and 6,094.25 is: 9,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.57 : 12,613.76 = 6,094.25 : x
  2. Step 2: Convert to fraction form
    8,429.57/12,613.76 = 6,094.25/x
  3. Step 3: Cross multiply
    8,429.57x = 12,613.76 × 6,094.25
  4. Step 4: Simplify right side
    8,429.57x = 76,871,376.41
  5. Step 5: Solve for x
    x = 76,871,376.41/8,429.57
  6. Step 6: Final answer
    x = 9,119.25

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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.