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Finding the Fourth Proportional to 9,878.94, 13,631.22 and 5,899.82

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Solution

The fourth proportional to 9,878.94, 13,631.22 and 5,899.82 is: 8,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.94 : 13,631.22 = 5,899.82 : x
  2. Step 2: Convert to fraction form
    9,878.94/13,631.22 = 5,899.82/x
  3. Step 3: Cross multiply
    9,878.94x = 13,631.22 × 5,899.82
  4. Step 4: Simplify right side
    9,878.94x = 80,421,676.22
  5. Step 5: Solve for x
    x = 80,421,676.22/9,878.94
  6. Step 6: Final answer
    x = 8,140.72

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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.