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Finding the Fourth Proportional to 9,805.47, 13,533.64 and 6,031.82

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Solution

The fourth proportional to 9,805.47, 13,533.64 and 6,031.82 is: 8,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.47 : 13,533.64 = 6,031.82 : x
  2. Step 2: Convert to fraction form
    9,805.47/13,533.64 = 6,031.82/x
  3. Step 3: Cross multiply
    9,805.47x = 13,533.64 × 6,031.82
  4. Step 4: Simplify right side
    9,805.47x = 81,632,397.68
  5. Step 5: Solve for x
    x = 81,632,397.68/9,805.47
  6. Step 6: Final answer
    x = 8,325.19

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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.