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Finding the Fourth Proportional to 6,501.93, 9,752.61 and 3,214.02

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Solution

The fourth proportional to 6,501.93, 9,752.61 and 3,214.02 is: 4,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.93 : 9,752.61 = 3,214.02 : x
  2. Step 2: Convert to fraction form
    6,501.93/9,752.61 = 3,214.02/x
  3. Step 3: Cross multiply
    6,501.93x = 9,752.61 × 3,214.02
  4. Step 4: Simplify right side
    6,501.93x = 31,345,083.59
  5. Step 5: Solve for x
    x = 31,345,083.59/6,501.93
  6. Step 6: Final answer
    x = 4,820.89

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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.