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Finding the Fourth Proportional to 6,527.96, 9,008.34 and 3,543.72

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Solution

The fourth proportional to 6,527.96, 9,008.34 and 3,543.72 is: 4,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.96 : 9,008.34 = 3,543.72 : x
  2. Step 2: Convert to fraction form
    6,527.96/9,008.34 = 3,543.72/x
  3. Step 3: Cross multiply
    6,527.96x = 9,008.34 × 3,543.72
  4. Step 4: Simplify right side
    6,527.96x = 31,923,034.62
  5. Step 5: Solve for x
    x = 31,923,034.62/6,527.96
  6. Step 6: Final answer
    x = 4,890.20

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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.