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Finding the Fourth Proportional to 9,823.20, 14,705.64 and 8,426.76

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Solution

The fourth proportional to 9,823.20, 14,705.64 and 8,426.76 is: 12,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.20 : 14,705.64 = 8,426.76 : x
  2. Step 2: Convert to fraction form
    9,823.20/14,705.64 = 8,426.76/x
  3. Step 3: Cross multiply
    9,823.20x = 14,705.64 × 8,426.76
  4. Step 4: Simplify right side
    9,823.20x = 123,920,898.93
  5. Step 5: Solve for x
    x = 123,920,898.93/9,823.20
  6. Step 6: Final answer
    x = 12,615.13

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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.