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Finding the Fourth Proportional to 9,134.57, 13,699.83 and 4,199.45

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Solution

The fourth proportional to 9,134.57, 13,699.83 and 4,199.45 is: 6,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.57 : 13,699.83 = 4,199.45 : x
  2. Step 2: Convert to fraction form
    9,134.57/13,699.83 = 4,199.45/x
  3. Step 3: Cross multiply
    9,134.57x = 13,699.83 × 4,199.45
  4. Step 4: Simplify right side
    9,134.57x = 57,531,698.34
  5. Step 5: Solve for x
    x = 57,531,698.34/9,134.57
  6. Step 6: Final answer
    x = 6,298.24

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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.