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Finding the Fourth Proportional to 9,542.08, 14,316.53 and 5,801.47

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Solution

The fourth proportional to 9,542.08, 14,316.53 and 5,801.47 is: 8,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.08 : 14,316.53 = 5,801.47 : x
  2. Step 2: Convert to fraction form
    9,542.08/14,316.53 = 5,801.47/x
  3. Step 3: Cross multiply
    9,542.08x = 14,316.53 × 5,801.47
  4. Step 4: Simplify right side
    9,542.08x = 83,056,890.29
  5. Step 5: Solve for x
    x = 83,056,890.29/9,542.08
  6. Step 6: Final answer
    x = 8,704.28

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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.