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Finding the Fourth Proportional to 9,676.18, 13,353.67 and 7,281.84

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Solution

The fourth proportional to 9,676.18, 13,353.67 and 7,281.84 is: 10,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.18 : 13,353.67 = 7,281.84 : x
  2. Step 2: Convert to fraction form
    9,676.18/13,353.67 = 7,281.84/x
  3. Step 3: Cross multiply
    9,676.18x = 13,353.67 × 7,281.84
  4. Step 4: Simplify right side
    9,676.18x = 97,239,320.22
  5. Step 5: Solve for x
    x = 97,239,320.22/9,676.18
  6. Step 6: Final answer
    x = 10,049.35

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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.