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Finding the Fourth Proportional to 9,532.88, 14,300.40 and 8,552.96

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Solution

The fourth proportional to 9,532.88, 14,300.40 and 8,552.96 is: 12,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.88 : 14,300.40 = 8,552.96 : x
  2. Step 2: Convert to fraction form
    9,532.88/14,300.40 = 8,552.96/x
  3. Step 3: Cross multiply
    9,532.88x = 14,300.40 × 8,552.96
  4. Step 4: Simplify right side
    9,532.88x = 122,310,749.18
  5. Step 5: Solve for x
    x = 122,310,749.18/9,532.88
  6. Step 6: Final answer
    x = 12,830.41

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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.