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Finding the Fourth Proportional to 6,499.50, 8,969.43 and 4,639.74

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Solution

The fourth proportional to 6,499.50, 8,969.43 and 4,639.74 is: 6,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.50 : 8,969.43 = 4,639.74 : x
  2. Step 2: Convert to fraction form
    6,499.50/8,969.43 = 4,639.74/x
  3. Step 3: Cross multiply
    6,499.50x = 8,969.43 × 4,639.74
  4. Step 4: Simplify right side
    6,499.50x = 41,615,823.15
  5. Step 5: Solve for x
    x = 41,615,823.15/6,499.50
  6. Step 6: Final answer
    x = 6,402.93

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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.