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Finding the Fourth Proportional to 6,528.12, 9,005.76 and 3,732

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Solution

The fourth proportional to 6,528.12, 9,005.76 and 3,732 is: 5,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.12 : 9,005.76 = 3,732 : x
  2. Step 2: Convert to fraction form
    6,528.12/9,005.76 = 3,732/x
  3. Step 3: Cross multiply
    6,528.12x = 9,005.76 × 3,732
  4. Step 4: Simplify right side
    6,528.12x = 33,609,496.32
  5. Step 5: Solve for x
    x = 33,609,496.32/6,528.12
  6. Step 6: Final answer
    x = 5,148.42

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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.