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Finding the Fourth Proportional to 9,647.25, 13,304.07 and 6,292.64

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Solution

The fourth proportional to 9,647.25, 13,304.07 and 6,292.64 is: 8,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.25 : 13,304.07 = 6,292.64 : x
  2. Step 2: Convert to fraction form
    9,647.25/13,304.07 = 6,292.64/x
  3. Step 3: Cross multiply
    9,647.25x = 13,304.07 × 6,292.64
  4. Step 4: Simplify right side
    9,647.25x = 83,717,656.52
  5. Step 5: Solve for x
    x = 83,717,656.52/9,647.25
  6. Step 6: Final answer
    x = 8,677.88

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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.