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Finding the Fourth Proportional to 6,564.38, 9,060.32 and 4,173.89

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Solution

The fourth proportional to 6,564.38, 9,060.32 and 4,173.89 is: 5,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.38 : 9,060.32 = 4,173.89 : x
  2. Step 2: Convert to fraction form
    6,564.38/9,060.32 = 4,173.89/x
  3. Step 3: Cross multiply
    6,564.38x = 9,060.32 × 4,173.89
  4. Step 4: Simplify right side
    6,564.38x = 37,816,779.04
  5. Step 5: Solve for x
    x = 37,816,779.04/6,564.38
  6. Step 6: Final answer
    x = 5,760.91

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Why These Related Problems?

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