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Finding the Fourth Proportional to 8,974.72, 12,385.08 and 4,996

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Solution

The fourth proportional to 8,974.72, 12,385.08 and 4,996 is: 6,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.72 : 12,385.08 = 4,996 : x
  2. Step 2: Convert to fraction form
    8,974.72/12,385.08 = 4,996/x
  3. Step 3: Cross multiply
    8,974.72x = 12,385.08 × 4,996
  4. Step 4: Simplify right side
    8,974.72x = 61,875,859.68
  5. Step 5: Solve for x
    x = 61,875,859.68/8,974.72
  6. Step 6: Final answer
    x = 6,894.46

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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.