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Finding the Fourth Proportional to 6,485.19, 9,714.84 and 4,999.22

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Solution

The fourth proportional to 6,485.19, 9,714.84 and 4,999.22 is: 7,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.19 : 9,714.84 = 4,999.22 : x
  2. Step 2: Convert to fraction form
    6,485.19/9,714.84 = 4,999.22/x
  3. Step 3: Cross multiply
    6,485.19x = 9,714.84 × 4,999.22
  4. Step 4: Simplify right side
    6,485.19x = 48,566,573.85
  5. Step 5: Solve for x
    x = 48,566,573.85/6,485.19
  6. Step 6: Final answer
    x = 7,488.84

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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.