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Finding the Fourth Proportional to 9,443.34, 14,137.20 and 8,275.68

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Solution

The fourth proportional to 9,443.34, 14,137.20 and 8,275.68 is: 12,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.34 : 14,137.20 = 8,275.68 : x
  2. Step 2: Convert to fraction form
    9,443.34/14,137.20 = 8,275.68/x
  3. Step 3: Cross multiply
    9,443.34x = 14,137.20 × 8,275.68
  4. Step 4: Simplify right side
    9,443.34x = 116,994,943.30
  5. Step 5: Solve for x
    x = 116,994,943.30/9,443.34
  6. Step 6: Final answer
    x = 12,389.15

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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.