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Finding the Fourth Proportional to 9,841.04, 14,761.68 and 6,530.49

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Solution

The fourth proportional to 9,841.04, 14,761.68 and 6,530.49 is: 9,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.04 : 14,761.68 = 6,530.49 : x
  2. Step 2: Convert to fraction form
    9,841.04/14,761.68 = 6,530.49/x
  3. Step 3: Cross multiply
    9,841.04x = 14,761.68 × 6,530.49
  4. Step 4: Simplify right side
    9,841.04x = 96,401,003.62
  5. Step 5: Solve for x
    x = 96,401,003.62/9,841.04
  6. Step 6: Final answer
    x = 9,795.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.