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Finding the Fourth Proportional to 6,008.74, 9,014.73 and 5,430.40

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Solution

The fourth proportional to 6,008.74, 9,014.73 and 5,430.40 is: 8,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008.74 : 9,014.73 = 5,430.40 : x
  2. Step 2: Convert to fraction form
    6,008.74/9,014.73 = 5,430.40/x
  3. Step 3: Cross multiply
    6,008.74x = 9,014.73 × 5,430.40
  4. Step 4: Simplify right side
    6,008.74x = 48,953,517.57
  5. Step 5: Solve for x
    x = 48,953,517.57/6,008.74
  6. Step 6: Final answer
    x = 8,147.06

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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.