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Finding the Fourth Proportional to 9,820.53, 14,717.84 and 5,662.80

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Solution

The fourth proportional to 9,820.53, 14,717.84 and 5,662.80 is: 8,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.53 : 14,717.84 = 5,662.80 : x
  2. Step 2: Convert to fraction form
    9,820.53/14,717.84 = 5,662.80/x
  3. Step 3: Cross multiply
    9,820.53x = 14,717.84 × 5,662.80
  4. Step 4: Simplify right side
    9,820.53x = 83,344,156.04
  5. Step 5: Solve for x
    x = 83,344,156.04/9,820.53
  6. Step 6: Final answer
    x = 8,486.73

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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.