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Finding the Fourth Proportional to 9,532.49, 14,308.42 and 4,606.28

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Solution

The fourth proportional to 9,532.49, 14,308.42 and 4,606.28 is: 6,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.49 : 14,308.42 = 4,606.28 : x
  2. Step 2: Convert to fraction form
    9,532.49/14,308.42 = 4,606.28/x
  3. Step 3: Cross multiply
    9,532.49x = 14,308.42 × 4,606.28
  4. Step 4: Simplify right side
    9,532.49x = 65,908,505.82
  5. Step 5: Solve for x
    x = 65,908,505.82/9,532.49
  6. Step 6: Final answer
    x = 6,914.09

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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.