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Finding the Fourth Proportional to 6,406.18, 8,832.76 and 4,970.96

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Solution

The fourth proportional to 6,406.18, 8,832.76 and 4,970.96 is: 6,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.18 : 8,832.76 = 4,970.96 : x
  2. Step 2: Convert to fraction form
    6,406.18/8,832.76 = 4,970.96/x
  3. Step 3: Cross multiply
    6,406.18x = 8,832.76 × 4,970.96
  4. Step 4: Simplify right side
    6,406.18x = 43,907,296.65
  5. Step 5: Solve for x
    x = 43,907,296.65/6,406.18
  6. Step 6: Final answer
    x = 6,853.90

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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.