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Finding the Fourth Proportional to 9,542.90, 14,322.71 and 5,104.10

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Solution

The fourth proportional to 9,542.90, 14,322.71 and 5,104.10 is: 7,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.90 : 14,322.71 = 5,104.10 : x
  2. Step 2: Convert to fraction form
    9,542.90/14,322.71 = 5,104.10/x
  3. Step 3: Cross multiply
    9,542.90x = 14,322.71 × 5,104.10
  4. Step 4: Simplify right side
    9,542.90x = 73,104,544.11
  5. Step 5: Solve for x
    x = 73,104,544.11/9,542.90
  6. Step 6: Final answer
    x = 7,660.62

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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.