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Finding the Fourth Proportional to 6,464.31, 8,925.03 and 4,969.59

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Solution

The fourth proportional to 6,464.31, 8,925.03 and 4,969.59 is: 6,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.31 : 8,925.03 = 4,969.59 : x
  2. Step 2: Convert to fraction form
    6,464.31/8,925.03 = 4,969.59/x
  3. Step 3: Cross multiply
    6,464.31x = 8,925.03 × 4,969.59
  4. Step 4: Simplify right side
    6,464.31x = 44,353,739.84
  5. Step 5: Solve for x
    x = 44,353,739.84/6,464.31
  6. Step 6: Final answer
    x = 6,861.33

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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.