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Finding the Fourth Proportional to 9,704.90, 14,533.46 and 5,534.62

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Solution

The fourth proportional to 9,704.90, 14,533.46 and 5,534.62 is: 8,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.90 : 14,533.46 = 5,534.62 : x
  2. Step 2: Convert to fraction form
    9,704.90/14,533.46 = 5,534.62/x
  3. Step 3: Cross multiply
    9,704.90x = 14,533.46 × 5,534.62
  4. Step 4: Simplify right side
    9,704.90x = 80,437,114.38
  5. Step 5: Solve for x
    x = 80,437,114.38/9,704.90
  6. Step 6: Final answer
    x = 8,288.30

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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.