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Finding the Fourth Proportional to 9,803.72, 14,705.58 and 3,562.57

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Solution

The fourth proportional to 9,803.72, 14,705.58 and 3,562.57 is: 5,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.72 : 14,705.58 = 3,562.57 : x
  2. Step 2: Convert to fraction form
    9,803.72/14,705.58 = 3,562.57/x
  3. Step 3: Cross multiply
    9,803.72x = 14,705.58 × 3,562.57
  4. Step 4: Simplify right side
    9,803.72x = 52,389,658.14
  5. Step 5: Solve for x
    x = 52,389,658.14/9,803.72
  6. Step 6: Final answer
    x = 5,343.86

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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.