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Finding the Fourth Proportional to 9,591.60, 14,368.57 and 8,546.70

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Solution

The fourth proportional to 9,591.60, 14,368.57 and 8,546.70 is: 12,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.60 : 14,368.57 = 8,546.70 : x
  2. Step 2: Convert to fraction form
    9,591.60/14,368.57 = 8,546.70/x
  3. Step 3: Cross multiply
    9,591.60x = 14,368.57 × 8,546.70
  4. Step 4: Simplify right side
    9,591.60x = 122,803,835.85
  5. Step 5: Solve for x
    x = 122,803,835.85/9,591.60
  6. Step 6: Final answer
    x = 12,803.27

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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.