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Finding the Fourth Proportional to 9,553.02, 14,213.96 and 9,314.94

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Solution

The fourth proportional to 9,553.02, 14,213.96 and 9,314.94 is: 13,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.02 : 14,213.96 = 9,314.94 : x
  2. Step 2: Convert to fraction form
    9,553.02/14,213.96 = 9,314.94/x
  3. Step 3: Cross multiply
    9,553.02x = 14,213.96 × 9,314.94
  4. Step 4: Simplify right side
    9,553.02x = 132,402,137.99
  5. Step 5: Solve for x
    x = 132,402,137.99/9,553.02
  6. Step 6: Final answer
    x = 13,859.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.