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Finding the Fourth Proportional to 9,977.58, 14,962.04 and 5,296.56

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Solution

The fourth proportional to 9,977.58, 14,962.04 and 5,296.56 is: 7,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.58 : 14,962.04 = 5,296.56 : x
  2. Step 2: Convert to fraction form
    9,977.58/14,962.04 = 5,296.56/x
  3. Step 3: Cross multiply
    9,977.58x = 14,962.04 × 5,296.56
  4. Step 4: Simplify right side
    9,977.58x = 79,247,420.99
  5. Step 5: Solve for x
    x = 79,247,420.99/9,977.58
  6. Step 6: Final answer
    x = 7,942.55

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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.