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Finding the Fourth Proportional to 9,796.10, 14,700.45 and 5,416.70

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Solution

The fourth proportional to 9,796.10, 14,700.45 and 5,416.70 is: 8,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.10 : 14,700.45 = 5,416.70 : x
  2. Step 2: Convert to fraction form
    9,796.10/14,700.45 = 5,416.70/x
  3. Step 3: Cross multiply
    9,796.10x = 14,700.45 × 5,416.70
  4. Step 4: Simplify right side
    9,796.10x = 79,627,927.52
  5. Step 5: Solve for x
    x = 79,627,927.52/9,796.10
  6. Step 6: Final answer
    x = 8,128.53

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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.