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Finding the Fourth Proportional to 9,267.83, 13,887.98 and 4,871.96

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Solution

The fourth proportional to 9,267.83, 13,887.98 and 4,871.96 is: 7,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.83 : 13,887.98 = 4,871.96 : x
  2. Step 2: Convert to fraction form
    9,267.83/13,887.98 = 4,871.96/x
  3. Step 3: Cross multiply
    9,267.83x = 13,887.98 × 4,871.96
  4. Step 4: Simplify right side
    9,267.83x = 67,661,589.24
  5. Step 5: Solve for x
    x = 67,661,589.24/9,267.83
  6. Step 6: Final answer
    x = 7,300.70

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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.