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Finding the Fourth Proportional to 6,527.82, 9,008.36 and 3,543.65

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Solution

The fourth proportional to 6,527.82, 9,008.36 and 3,543.65 is: 4,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.82 : 9,008.36 = 3,543.65 : x
  2. Step 2: Convert to fraction form
    6,527.82/9,008.36 = 3,543.65/x
  3. Step 3: Cross multiply
    6,527.82x = 9,008.36 × 3,543.65
  4. Step 4: Simplify right side
    6,527.82x = 31,922,412.15
  5. Step 5: Solve for x
    x = 31,922,412.15/6,527.82
  6. Step 6: Final answer
    x = 4,890.21

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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.