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Finding the Fourth Proportional to 6,527.68, 9,005.49 and 4,853.09

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Solution

The fourth proportional to 6,527.68, 9,005.49 and 4,853.09 is: 6,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.68 : 9,005.49 = 4,853.09 : x
  2. Step 2: Convert to fraction form
    6,527.68/9,005.49 = 4,853.09/x
  3. Step 3: Cross multiply
    6,527.68x = 9,005.49 × 4,853.09
  4. Step 4: Simplify right side
    6,527.68x = 43,704,426.76
  5. Step 5: Solve for x
    x = 43,704,426.76/6,527.68
  6. Step 6: Final answer
    x = 6,695.24

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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.