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Finding the Fourth Proportional to 9,123.68, 13,675.94 and 5,170.02

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Solution

The fourth proportional to 9,123.68, 13,675.94 and 5,170.02 is: 7,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.68 : 13,675.94 = 5,170.02 : x
  2. Step 2: Convert to fraction form
    9,123.68/13,675.94 = 5,170.02/x
  3. Step 3: Cross multiply
    9,123.68x = 13,675.94 × 5,170.02
  4. Step 4: Simplify right side
    9,123.68x = 70,704,883.32
  5. Step 5: Solve for x
    x = 70,704,883.32/9,123.68
  6. Step 6: Final answer
    x = 7,749.60

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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.