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Finding the Fourth Proportional to 9,814.54, 13,546.16 and 6,037.72

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Solution

The fourth proportional to 9,814.54, 13,546.16 and 6,037.72 is: 8,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.54 : 13,546.16 = 6,037.72 : x
  2. Step 2: Convert to fraction form
    9,814.54/13,546.16 = 6,037.72/x
  3. Step 3: Cross multiply
    9,814.54x = 13,546.16 × 6,037.72
  4. Step 4: Simplify right side
    9,814.54x = 81,787,921.16
  5. Step 5: Solve for x
    x = 81,787,921.16/9,814.54
  6. Step 6: Final answer
    x = 8,333.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.