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Finding the Fourth Proportional to 9,854.00, 14,776.55 and 2,832.41

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Solution

The fourth proportional to 9,854.00, 14,776.55 and 2,832.41 is: 4,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.00 : 14,776.55 = 2,832.41 : x
  2. Step 2: Convert to fraction form
    9,854.00/14,776.55 = 2,832.41/x
  3. Step 3: Cross multiply
    9,854.00x = 14,776.55 × 2,832.41
  4. Step 4: Simplify right side
    9,854.00x = 41,853,159.94
  5. Step 5: Solve for x
    x = 41,853,159.94/9,854.00
  6. Step 6: Final answer
    x = 4,247.33

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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.