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Finding the Fourth Proportional to 9,491.84, 14,237.76 and 8,026.64

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Solution

The fourth proportional to 9,491.84, 14,237.76 and 8,026.64 is: 12,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.84 : 14,237.76 = 8,026.64 : x
  2. Step 2: Convert to fraction form
    9,491.84/14,237.76 = 8,026.64/x
  3. Step 3: Cross multiply
    9,491.84x = 14,237.76 × 8,026.64
  4. Step 4: Simplify right side
    9,491.84x = 114,281,373.93
  5. Step 5: Solve for x
    x = 114,281,373.93/9,491.84
  6. Step 6: Final answer
    x = 12,039.96

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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.