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Finding the Fourth Proportional to 9,500.40, 14,250.84 and 4,501.60

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Solution

The fourth proportional to 9,500.40, 14,250.84 and 4,501.60 is: 6,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.40 : 14,250.84 = 4,501.60 : x
  2. Step 2: Convert to fraction form
    9,500.40/14,250.84 = 4,501.60/x
  3. Step 3: Cross multiply
    9,500.40x = 14,250.84 × 4,501.60
  4. Step 4: Simplify right side
    9,500.40x = 64,151,487.58
  5. Step 5: Solve for x
    x = 64,151,487.58/9,500.40
  6. Step 6: Final answer
    x = 6,752.51

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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.