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Finding the Fourth Proportional to 9,024.60, 13,532.04 and 4,866.84

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Solution

The fourth proportional to 9,024.60, 13,532.04 and 4,866.84 is: 7,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.60 : 13,532.04 = 4,866.84 : x
  2. Step 2: Convert to fraction form
    9,024.60/13,532.04 = 4,866.84/x
  3. Step 3: Cross multiply
    9,024.60x = 13,532.04 × 4,866.84
  4. Step 4: Simplify right side
    9,024.60x = 65,858,273.55
  5. Step 5: Solve for x
    x = 65,858,273.55/9,024.60
  6. Step 6: Final answer
    x = 7,297.64

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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.