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Finding the Fourth Proportional to 9,541.47, 13,166.93 and 5,562.75

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Solution

The fourth proportional to 9,541.47, 13,166.93 and 5,562.75 is: 7,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.47 : 13,166.93 = 5,562.75 : x
  2. Step 2: Convert to fraction form
    9,541.47/13,166.93 = 5,562.75/x
  3. Step 3: Cross multiply
    9,541.47x = 13,166.93 × 5,562.75
  4. Step 4: Simplify right side
    9,541.47x = 73,244,339.86
  5. Step 5: Solve for x
    x = 73,244,339.86/9,541.47
  6. Step 6: Final answer
    x = 7,676.42

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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.