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Finding the Fourth Proportional to 6,513.42, 9,759.88 and 5,036.25

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Solution

The fourth proportional to 6,513.42, 9,759.88 and 5,036.25 is: 7,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.42 : 9,759.88 = 5,036.25 : x
  2. Step 2: Convert to fraction form
    6,513.42/9,759.88 = 5,036.25/x
  3. Step 3: Cross multiply
    6,513.42x = 9,759.88 × 5,036.25
  4. Step 4: Simplify right side
    6,513.42x = 49,153,195.65
  5. Step 5: Solve for x
    x = 49,153,195.65/6,513.42
  6. Step 6: Final answer
    x = 7,546.45

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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.