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Finding the Fourth Proportional to 9,542.70, 13,165.94 and 5,509.01

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Solution

The fourth proportional to 9,542.70, 13,165.94 and 5,509.01 is: 7,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.70 : 13,165.94 = 5,509.01 : x
  2. Step 2: Convert to fraction form
    9,542.70/13,165.94 = 5,509.01/x
  3. Step 3: Cross multiply
    9,542.70x = 13,165.94 × 5,509.01
  4. Step 4: Simplify right side
    9,542.70x = 72,531,341.81
  5. Step 5: Solve for x
    x = 72,531,341.81/9,542.70
  6. Step 6: Final answer
    x = 7,600.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.