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Finding the Fourth Proportional to 6,458.25, 9,671.99 and 4,485.85

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Solution

The fourth proportional to 6,458.25, 9,671.99 and 4,485.85 is: 6,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.25 : 9,671.99 = 4,485.85 : x
  2. Step 2: Convert to fraction form
    6,458.25/9,671.99 = 4,485.85/x
  3. Step 3: Cross multiply
    6,458.25x = 9,671.99 × 4,485.85
  4. Step 4: Simplify right side
    6,458.25x = 43,387,047.98
  5. Step 5: Solve for x
    x = 43,387,047.98/6,458.25
  6. Step 6: Final answer
    x = 6,718.08

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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.