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Finding the Fourth Proportional to 9,477.86, 14,219.52 and 3,930.17

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Solution

The fourth proportional to 9,477.86, 14,219.52 and 3,930.17 is: 5,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.86 : 14,219.52 = 3,930.17 : x
  2. Step 2: Convert to fraction form
    9,477.86/14,219.52 = 3,930.17/x
  3. Step 3: Cross multiply
    9,477.86x = 14,219.52 × 3,930.17
  4. Step 4: Simplify right side
    9,477.86x = 55,885,158.23
  5. Step 5: Solve for x
    x = 55,885,158.23/9,477.86
  6. Step 6: Final answer
    x = 5,896.39

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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.