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Finding the Fourth Proportional to 6,500.63, 8,970.81 and 3,668.02

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Solution

The fourth proportional to 6,500.63, 8,970.81 and 3,668.02 is: 5,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.63 : 8,970.81 = 3,668.02 : x
  2. Step 2: Convert to fraction form
    6,500.63/8,970.81 = 3,668.02/x
  3. Step 3: Cross multiply
    6,500.63x = 8,970.81 × 3,668.02
  4. Step 4: Simplify right side
    6,500.63x = 32,905,132.92
  5. Step 5: Solve for x
    x = 32,905,132.92/6,500.63
  6. Step 6: Final answer
    x = 5,061.84

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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.