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Finding the Fourth Proportional to 8,970.96, 12,380.00 and 5,431.71

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Solution

The fourth proportional to 8,970.96, 12,380.00 and 5,431.71 is: 7,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.96 : 12,380.00 = 5,431.71 : x
  2. Step 2: Convert to fraction form
    8,970.96/12,380.00 = 5,431.71/x
  3. Step 3: Cross multiply
    8,970.96x = 12,380.00 × 5,431.71
  4. Step 4: Simplify right side
    8,970.96x = 67,244,542.64
  5. Step 5: Solve for x
    x = 67,244,542.64/8,970.96
  6. Step 6: Final answer
    x = 7,495.80

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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.