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Finding the Fourth Proportional to 9,913.60, 14,865.69 and 5,754.89

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Solution

The fourth proportional to 9,913.60, 14,865.69 and 5,754.89 is: 8,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.60 : 14,865.69 = 5,754.89 : x
  2. Step 2: Convert to fraction form
    9,913.60/14,865.69 = 5,754.89/x
  3. Step 3: Cross multiply
    9,913.60x = 14,865.69 × 5,754.89
  4. Step 4: Simplify right side
    9,913.60x = 85,550,336.40
  5. Step 5: Solve for x
    x = 85,550,336.40/9,913.60
  6. Step 6: Final answer
    x = 8,629.59

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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.