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Finding the Fourth Proportional to 6,528.49, 9,009.37 and 3,838.99

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Solution

The fourth proportional to 6,528.49, 9,009.37 and 3,838.99 is: 5,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.49 : 9,009.37 = 3,838.99 : x
  2. Step 2: Convert to fraction form
    6,528.49/9,009.37 = 3,838.99/x
  3. Step 3: Cross multiply
    6,528.49x = 9,009.37 × 3,838.99
  4. Step 4: Simplify right side
    6,528.49x = 34,586,881.34
  5. Step 5: Solve for x
    x = 34,586,881.34/6,528.49
  6. Step 6: Final answer
    x = 5,297.84

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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.