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Finding the Fourth Proportional to 6,527.41, 9,007.80 and 3,543.22

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Solution

The fourth proportional to 6,527.41, 9,007.80 and 3,543.22 is: 4,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.41 : 9,007.80 = 3,543.22 : x
  2. Step 2: Convert to fraction form
    6,527.41/9,007.80 = 3,543.22/x
  3. Step 3: Cross multiply
    6,527.41x = 9,007.80 × 3,543.22
  4. Step 4: Simplify right side
    6,527.41x = 31,916,617.12
  5. Step 5: Solve for x
    x = 31,916,617.12/6,527.41
  6. Step 6: Final answer
    x = 4,889.63

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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.