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Finding the Fourth Proportional to 6,050.09, 9,074.84 and 5,730.14

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Solution

The fourth proportional to 6,050.09, 9,074.84 and 5,730.14 is: 8,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050.09 : 9,074.84 = 5,730.14 : x
  2. Step 2: Convert to fraction form
    6,050.09/9,074.84 = 5,730.14/x
  3. Step 3: Cross multiply
    6,050.09x = 9,074.84 × 5,730.14
  4. Step 4: Simplify right side
    6,050.09x = 52,000,097.71
  5. Step 5: Solve for x
    x = 52,000,097.71/6,050.09
  6. Step 6: Final answer
    x = 8,594.93

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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.