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Finding the Fourth Proportional to 8,971.36, 13,454.71 and 3,423.06

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Solution

The fourth proportional to 8,971.36, 13,454.71 and 3,423.06 is: 5,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.36 : 13,454.71 = 3,423.06 : x
  2. Step 2: Convert to fraction form
    8,971.36/13,454.71 = 3,423.06/x
  3. Step 3: Cross multiply
    8,971.36x = 13,454.71 × 3,423.06
  4. Step 4: Simplify right side
    8,971.36x = 46,056,271.05
  5. Step 5: Solve for x
    x = 46,056,271.05/8,971.36
  6. Step 6: Final answer
    x = 5,133.70

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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.