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Finding the Fourth Proportional to 9,852.92, 13,577.46 and 9,730.28

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Solution

The fourth proportional to 9,852.92, 13,577.46 and 9,730.28 is: 13,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.92 : 13,577.46 = 9,730.28 : x
  2. Step 2: Convert to fraction form
    9,852.92/13,577.46 = 9,730.28/x
  3. Step 3: Cross multiply
    9,852.92x = 13,577.46 × 9,730.28
  4. Step 4: Simplify right side
    9,852.92x = 132,112,487.49
  5. Step 5: Solve for x
    x = 132,112,487.49/9,852.92
  6. Step 6: Final answer
    x = 13,408.46

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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.