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Finding the Fourth Proportional to 6,271.98, 9,389.50 and 4,635.82

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Solution

The fourth proportional to 6,271.98, 9,389.50 and 4,635.82 is: 6,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.98 : 9,389.50 = 4,635.82 : x
  2. Step 2: Convert to fraction form
    6,271.98/9,389.50 = 4,635.82/x
  3. Step 3: Cross multiply
    6,271.98x = 9,389.50 × 4,635.82
  4. Step 4: Simplify right side
    6,271.98x = 43,528,031.89
  5. Step 5: Solve for x
    x = 43,528,031.89/6,271.98
  6. Step 6: Final answer
    x = 6,940.08

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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.