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Finding the Fourth Proportional to 9,542.48, 13,167.96 and 5,509.47

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Solution

The fourth proportional to 9,542.48, 13,167.96 and 5,509.47 is: 7,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.48 : 13,167.96 = 5,509.47 : x
  2. Step 2: Convert to fraction form
    9,542.48/13,167.96 = 5,509.47/x
  3. Step 3: Cross multiply
    9,542.48x = 13,167.96 × 5,509.47
  4. Step 4: Simplify right side
    9,542.48x = 72,548,503.93
  5. Step 5: Solve for x
    x = 72,548,503.93/9,542.48
  6. Step 6: Final answer
    x = 7,602.69

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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.