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Finding the Fourth Proportional to 6,050.30, 9,023.71 and 5,314.76

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Solution

The fourth proportional to 6,050.30, 9,023.71 and 5,314.76 is: 7,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050.30 : 9,023.71 = 5,314.76 : x
  2. Step 2: Convert to fraction form
    6,050.30/9,023.71 = 5,314.76/x
  3. Step 3: Cross multiply
    6,050.30x = 9,023.71 × 5,314.76
  4. Step 4: Simplify right side
    6,050.30x = 47,958,852.96
  5. Step 5: Solve for x
    x = 47,958,852.96/6,050.30
  6. Step 6: Final answer
    x = 7,926.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.