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Finding the Fourth Proportional to 8,957, 13,369.76 and 8,297.26

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Solution

The fourth proportional to 8,957, 13,369.76 and 8,297.26 is: 12,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957 : 13,369.76 = 8,297.26 : x
  2. Step 2: Convert to fraction form
    8,957/13,369.76 = 8,297.26/x
  3. Step 3: Cross multiply
    8,957x = 13,369.76 × 8,297.26
  4. Step 4: Simplify right side
    8,957x = 110,932,374.86
  5. Step 5: Solve for x
    x = 110,932,374.86/8,957
  6. Step 6: Final answer
    x = 12,384.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.