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Finding the Fourth Proportional to 9,308.97, 13,965.75 and 4,631.20

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Solution

The fourth proportional to 9,308.97, 13,965.75 and 4,631.20 is: 6,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.97 : 13,965.75 = 4,631.20 : x
  2. Step 2: Convert to fraction form
    9,308.97/13,965.75 = 4,631.20/x
  3. Step 3: Cross multiply
    9,308.97x = 13,965.75 × 4,631.20
  4. Step 4: Simplify right side
    9,308.97x = 64,678,181.40
  5. Step 5: Solve for x
    x = 64,678,181.40/9,308.97
  6. Step 6: Final answer
    x = 6,947.94

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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.