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Finding the Fourth Proportional to 9,310.83, 13,977.18 and 5,417.97

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Solution

The fourth proportional to 9,310.83, 13,977.18 and 5,417.97 is: 8,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.83 : 13,977.18 = 5,417.97 : x
  2. Step 2: Convert to fraction form
    9,310.83/13,977.18 = 5,417.97/x
  3. Step 3: Cross multiply
    9,310.83x = 13,977.18 × 5,417.97
  4. Step 4: Simplify right side
    9,310.83x = 75,727,941.92
  5. Step 5: Solve for x
    x = 75,727,941.92/9,310.83
  6. Step 6: Final answer
    x = 8,133.32

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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.