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Finding the Fourth Proportional to 9,818.66, 13,553.70 and 6,676.76

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Solution

The fourth proportional to 9,818.66, 13,553.70 and 6,676.76 is: 9,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.66 : 13,553.70 = 6,676.76 : x
  2. Step 2: Convert to fraction form
    9,818.66/13,553.70 = 6,676.76/x
  3. Step 3: Cross multiply
    9,818.66x = 13,553.70 × 6,676.76
  4. Step 4: Simplify right side
    9,818.66x = 90,494,802.01
  5. Step 5: Solve for x
    x = 90,494,802.01/9,818.66
  6. Step 6: Final answer
    x = 9,216.61

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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.