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Finding the Fourth Proportional to 8,952.96, 13,429.44 and 3,106.40

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Solution

The fourth proportional to 8,952.96, 13,429.44 and 3,106.40 is: 4,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.96 : 13,429.44 = 3,106.40 : x
  2. Step 2: Convert to fraction form
    8,952.96/13,429.44 = 3,106.40/x
  3. Step 3: Cross multiply
    8,952.96x = 13,429.44 × 3,106.40
  4. Step 4: Simplify right side
    8,952.96x = 41,717,212.42
  5. Step 5: Solve for x
    x = 41,717,212.42/8,952.96
  6. Step 6: Final answer
    x = 4,659.60

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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.