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Finding the Fourth Proportional to 9,412.96, 14,106.48 and 4,216

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Solution

The fourth proportional to 9,412.96, 14,106.48 and 4,216 is: 6,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.96 : 14,106.48 = 4,216 : x
  2. Step 2: Convert to fraction form
    9,412.96/14,106.48 = 4,216/x
  3. Step 3: Cross multiply
    9,412.96x = 14,106.48 × 4,216
  4. Step 4: Simplify right side
    9,412.96x = 59,472,919.68
  5. Step 5: Solve for x
    x = 59,472,919.68/9,412.96
  6. Step 6: Final answer
    x = 6,318.20

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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.