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Finding the Fourth Proportional to 9,317.75, 13,976.62 and 6,387.17

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Solution

The fourth proportional to 9,317.75, 13,976.62 and 6,387.17 is: 9,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.75 : 13,976.62 = 6,387.17 : x
  2. Step 2: Convert to fraction form
    9,317.75/13,976.62 = 6,387.17/x
  3. Step 3: Cross multiply
    9,317.75x = 13,976.62 × 6,387.17
  4. Step 4: Simplify right side
    9,317.75x = 89,270,962.11
  5. Step 5: Solve for x
    x = 89,270,962.11/9,317.75
  6. Step 6: Final answer
    x = 9,580.75

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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.