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Finding the Fourth Proportional to 9,913.50, 13,676.88 and 6,328.59

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Solution

The fourth proportional to 9,913.50, 13,676.88 and 6,328.59 is: 8,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.50 : 13,676.88 = 6,328.59 : x
  2. Step 2: Convert to fraction form
    9,913.50/13,676.88 = 6,328.59/x
  3. Step 3: Cross multiply
    9,913.50x = 13,676.88 × 6,328.59
  4. Step 4: Simplify right side
    9,913.50x = 86,555,366.00
  5. Step 5: Solve for x
    x = 86,555,366.00/9,913.50
  6. Step 6: Final answer
    x = 8,731.06

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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.