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Finding the Fourth Proportional to 9,805.97, 13,532.53 and 6,031.35

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Solution

The fourth proportional to 9,805.97, 13,532.53 and 6,031.35 is: 8,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.97 : 13,532.53 = 6,031.35 : x
  2. Step 2: Convert to fraction form
    9,805.97/13,532.53 = 6,031.35/x
  3. Step 3: Cross multiply
    9,805.97x = 13,532.53 × 6,031.35
  4. Step 4: Simplify right side
    9,805.97x = 81,619,424.82
  5. Step 5: Solve for x
    x = 81,619,424.82/9,805.97
  6. Step 6: Final answer
    x = 8,323.44

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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.