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Finding the Fourth Proportional to 9,599.34, 14,400.96 and 4,052.70

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Solution

The fourth proportional to 9,599.34, 14,400.96 and 4,052.70 is: 6,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.34 : 14,400.96 = 4,052.70 : x
  2. Step 2: Convert to fraction form
    9,599.34/14,400.96 = 4,052.70/x
  3. Step 3: Cross multiply
    9,599.34x = 14,400.96 × 4,052.70
  4. Step 4: Simplify right side
    9,599.34x = 58,362,770.59
  5. Step 5: Solve for x
    x = 58,362,770.59/9,599.34
  6. Step 6: Final answer
    x = 6,079.87

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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.