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Finding the Fourth Proportional to 6,513.06, 9,746.82 and 5,329.38

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Solution

The fourth proportional to 6,513.06, 9,746.82 and 5,329.38 is: 7,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.06 : 9,746.82 = 5,329.38 : x
  2. Step 2: Convert to fraction form
    6,513.06/9,746.82 = 5,329.38/x
  3. Step 3: Cross multiply
    6,513.06x = 9,746.82 × 5,329.38
  4. Step 4: Simplify right side
    6,513.06x = 51,944,507.57
  5. Step 5: Solve for x
    x = 51,944,507.57/6,513.06
  6. Step 6: Final answer
    x = 7,975.44

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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.