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Finding the Fourth Proportional to 9,949.14, 14,886.90 and 6,002.67

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Solution

The fourth proportional to 9,949.14, 14,886.90 and 6,002.67 is: 8,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.14 : 14,886.90 = 6,002.67 : x
  2. Step 2: Convert to fraction form
    9,949.14/14,886.90 = 6,002.67/x
  3. Step 3: Cross multiply
    9,949.14x = 14,886.90 × 6,002.67
  4. Step 4: Simplify right side
    9,949.14x = 89,361,148.02
  5. Step 5: Solve for x
    x = 89,361,148.02/9,949.14
  6. Step 6: Final answer
    x = 8,981.80

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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.