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Finding the Fourth Proportional to 6,501.96, 9,752.64 and 3,214.02

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Solution

The fourth proportional to 6,501.96, 9,752.64 and 3,214.02 is: 4,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.96 : 9,752.64 = 3,214.02 : x
  2. Step 2: Convert to fraction form
    6,501.96/9,752.64 = 3,214.02/x
  3. Step 3: Cross multiply
    6,501.96x = 9,752.64 × 3,214.02
  4. Step 4: Simplify right side
    6,501.96x = 31,345,180.01
  5. Step 5: Solve for x
    x = 31,345,180.01/6,501.96
  6. Step 6: Final answer
    x = 4,820.88

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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.