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Finding the Fourth Proportional to 6,533.82, 9,722.43 and 6,512.04

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Solution

The fourth proportional to 6,533.82, 9,722.43 and 6,512.04 is: 9,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.82 : 9,722.43 = 6,512.04 : x
  2. Step 2: Convert to fraction form
    6,533.82/9,722.43 = 6,512.04/x
  3. Step 3: Cross multiply
    6,533.82x = 9,722.43 × 6,512.04
  4. Step 4: Simplify right side
    6,533.82x = 63,312,853.06
  5. Step 5: Solve for x
    x = 63,312,853.06/6,533.82
  6. Step 6: Final answer
    x = 9,690.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.