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Finding the Fourth Proportional to 9,532.85, 14,308.07 and 4,856.20

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Solution

The fourth proportional to 9,532.85, 14,308.07 and 4,856.20 is: 7,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.85 : 14,308.07 = 4,856.20 : x
  2. Step 2: Convert to fraction form
    9,532.85/14,308.07 = 4,856.20/x
  3. Step 3: Cross multiply
    9,532.85x = 14,308.07 × 4,856.20
  4. Step 4: Simplify right side
    9,532.85x = 69,482,883.62
  5. Step 5: Solve for x
    x = 69,482,883.62/9,532.85
  6. Step 6: Final answer
    x = 7,288.78

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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.