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Finding the Fourth Proportional to 9,968.20, 14,933.84 and 5,810.20

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Solution

The fourth proportional to 9,968.20, 14,933.84 and 5,810.20 is: 8,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.20 : 14,933.84 = 5,810.20 : x
  2. Step 2: Convert to fraction form
    9,968.20/14,933.84 = 5,810.20/x
  3. Step 3: Cross multiply
    9,968.20x = 14,933.84 × 5,810.20
  4. Step 4: Simplify right side
    9,968.20x = 86,768,597.17
  5. Step 5: Solve for x
    x = 86,768,597.17/9,968.20
  6. Step 6: Final answer
    x = 8,704.54

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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.