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Finding the Fourth Proportional to 9,542.87, 14,316.74 and 2,969.10

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Solution

The fourth proportional to 9,542.87, 14,316.74 and 2,969.10 is: 4,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.87 : 14,316.74 = 2,969.10 : x
  2. Step 2: Convert to fraction form
    9,542.87/14,316.74 = 2,969.10/x
  3. Step 3: Cross multiply
    9,542.87x = 14,316.74 × 2,969.10
  4. Step 4: Simplify right side
    9,542.87x = 42,507,817.89
  5. Step 5: Solve for x
    x = 42,507,817.89/9,542.87
  6. Step 6: Final answer
    x = 4,454.41

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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.