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Finding the Fourth Proportional to 9,671.24, 14,526.30 and 8,451.38

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Solution

The fourth proportional to 9,671.24, 14,526.30 and 8,451.38 is: 12,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.24 : 14,526.30 = 8,451.38 : x
  2. Step 2: Convert to fraction form
    9,671.24/14,526.30 = 8,451.38/x
  3. Step 3: Cross multiply
    9,671.24x = 14,526.30 × 8,451.38
  4. Step 4: Simplify right side
    9,671.24x = 122,767,281.29
  5. Step 5: Solve for x
    x = 122,767,281.29/9,671.24
  6. Step 6: Final answer
    x = 12,694.06

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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.