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Finding the Fourth Proportional to 8,971.86, 13,436.94 and 8,660.42

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Solution

The fourth proportional to 8,971.86, 13,436.94 and 8,660.42 is: 12,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.86 : 13,436.94 = 8,660.42 : x
  2. Step 2: Convert to fraction form
    8,971.86/13,436.94 = 8,660.42/x
  3. Step 3: Cross multiply
    8,971.86x = 13,436.94 × 8,660.42
  4. Step 4: Simplify right side
    8,971.86x = 116,369,510.88
  5. Step 5: Solve for x
    x = 116,369,510.88/8,971.86
  6. Step 6: Final answer
    x = 12,970.49

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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.