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Finding the Fourth Proportional to 6,533.12, 9,799.68 and 3,250.32

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Solution

The fourth proportional to 6,533.12, 9,799.68 and 3,250.32 is: 4,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.12 : 9,799.68 = 3,250.32 : x
  2. Step 2: Convert to fraction form
    6,533.12/9,799.68 = 3,250.32/x
  3. Step 3: Cross multiply
    6,533.12x = 9,799.68 × 3,250.32
  4. Step 4: Simplify right side
    6,533.12x = 31,852,095.90
  5. Step 5: Solve for x
    x = 31,852,095.90/6,533.12
  6. Step 6: Final answer
    x = 4,875.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.