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Finding the Fourth Proportional to 9,985.40, 13,775.82 and 6,205.88

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Solution

The fourth proportional to 9,985.40, 13,775.82 and 6,205.88 is: 8,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.40 : 13,775.82 = 6,205.88 : x
  2. Step 2: Convert to fraction form
    9,985.40/13,775.82 = 6,205.88/x
  3. Step 3: Cross multiply
    9,985.40x = 13,775.82 × 6,205.88
  4. Step 4: Simplify right side
    9,985.40x = 85,491,085.82
  5. Step 5: Solve for x
    x = 85,491,085.82/9,985.40
  6. Step 6: Final answer
    x = 8,561.61

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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.