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Finding the Fourth Proportional to 6,549, 9,837.05 and 5,301.06

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Solution

The fourth proportional to 6,549, 9,837.05 and 5,301.06 is: 7,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549 : 9,837.05 = 5,301.06 : x
  2. Step 2: Convert to fraction form
    6,549/9,837.05 = 5,301.06/x
  3. Step 3: Cross multiply
    6,549x = 9,837.05 × 5,301.06
  4. Step 4: Simplify right side
    6,549x = 52,146,765.77
  5. Step 5: Solve for x
    x = 52,146,765.77/6,549
  6. Step 6: Final answer
    x = 7,962.55

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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.