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Finding the Fourth Proportional to 6,725.88, 9,277.86 and 5,585.08

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Solution

The fourth proportional to 6,725.88, 9,277.86 and 5,585.08 is: 7,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.88 : 9,277.86 = 5,585.08 : x
  2. Step 2: Convert to fraction form
    6,725.88/9,277.86 = 5,585.08/x
  3. Step 3: Cross multiply
    6,725.88x = 9,277.86 × 5,585.08
  4. Step 4: Simplify right side
    6,725.88x = 51,817,590.33
  5. Step 5: Solve for x
    x = 51,817,590.33/6,725.88
  6. Step 6: Final answer
    x = 7,704.21

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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.