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Finding the Fourth Proportional to 6,485.98, 9,729.12 and 4,852.90

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Solution

The fourth proportional to 6,485.98, 9,729.12 and 4,852.90 is: 7,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.98 : 9,729.12 = 4,852.90 : x
  2. Step 2: Convert to fraction form
    6,485.98/9,729.12 = 4,852.90/x
  3. Step 3: Cross multiply
    6,485.98x = 9,729.12 × 4,852.90
  4. Step 4: Simplify right side
    6,485.98x = 47,214,446.45
  5. Step 5: Solve for x
    x = 47,214,446.45/6,485.98
  6. Step 6: Final answer
    x = 7,279.46

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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.