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Finding the Fourth Proportional to 9,837.81, 14,758.20 and 3,262.50

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Solution

The fourth proportional to 9,837.81, 14,758.20 and 3,262.50 is: 4,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.81 : 14,758.20 = 3,262.50 : x
  2. Step 2: Convert to fraction form
    9,837.81/14,758.20 = 3,262.50/x
  3. Step 3: Cross multiply
    9,837.81x = 14,758.20 × 3,262.50
  4. Step 4: Simplify right side
    9,837.81x = 48,148,627.50
  5. Step 5: Solve for x
    x = 48,148,627.50/9,837.81
  6. Step 6: Final answer
    x = 4,894.24

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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.