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Finding the Fourth Proportional to 9,553.60, 14,313.46 and 8,152.72

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Solution

The fourth proportional to 9,553.60, 14,313.46 and 8,152.72 is: 12,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.60 : 14,313.46 = 8,152.72 : x
  2. Step 2: Convert to fraction form
    9,553.60/14,313.46 = 8,152.72/x
  3. Step 3: Cross multiply
    9,553.60x = 14,313.46 × 8,152.72
  4. Step 4: Simplify right side
    9,553.60x = 116,693,631.61
  5. Step 5: Solve for x
    x = 116,693,631.61/9,553.60
  6. Step 6: Final answer
    x = 12,214.62

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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.