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Finding the Fourth Proportional to 6,055.58, 9,073.64 and 5,828

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Solution

The fourth proportional to 6,055.58, 9,073.64 and 5,828 is: 8,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.58 : 9,073.64 = 5,828 : x
  2. Step 2: Convert to fraction form
    6,055.58/9,073.64 = 5,828/x
  3. Step 3: Cross multiply
    6,055.58x = 9,073.64 × 5,828
  4. Step 4: Simplify right side
    6,055.58x = 52,881,173.92
  5. Step 5: Solve for x
    x = 52,881,173.92/6,055.58
  6. Step 6: Final answer
    x = 8,732.64

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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.