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Finding the Fourth Proportional to 9,718.92, 14,546.88 and 6,003.72

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Solution

The fourth proportional to 9,718.92, 14,546.88 and 6,003.72 is: 8,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.92 : 14,546.88 = 6,003.72 : x
  2. Step 2: Convert to fraction form
    9,718.92/14,546.88 = 6,003.72/x
  3. Step 3: Cross multiply
    9,718.92x = 14,546.88 × 6,003.72
  4. Step 4: Simplify right side
    9,718.92x = 87,335,394.39
  5. Step 5: Solve for x
    x = 87,335,394.39/9,718.92
  6. Step 6: Final answer
    x = 8,986.12

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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.