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Finding the Fourth Proportional to 6,546.61, 9,031.74 and 4,849.25

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Solution

The fourth proportional to 6,546.61, 9,031.74 and 4,849.25 is: 6,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.61 : 9,031.74 = 4,849.25 : x
  2. Step 2: Convert to fraction form
    6,546.61/9,031.74 = 4,849.25/x
  3. Step 3: Cross multiply
    6,546.61x = 9,031.74 × 4,849.25
  4. Step 4: Simplify right side
    6,546.61x = 43,797,165.20
  5. Step 5: Solve for x
    x = 43,797,165.20/6,546.61
  6. Step 6: Final answer
    x = 6,690.05

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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.