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Finding the Fourth Proportional to 6,134.88, 9,182.88 and 4,668.48

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Solution

The fourth proportional to 6,134.88, 9,182.88 and 4,668.48 is: 6,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.88 : 9,182.88 = 4,668.48 : x
  2. Step 2: Convert to fraction form
    6,134.88/9,182.88 = 4,668.48/x
  3. Step 3: Cross multiply
    6,134.88x = 9,182.88 × 4,668.48
  4. Step 4: Simplify right side
    6,134.88x = 42,870,091.62
  5. Step 5: Solve for x
    x = 42,870,091.62/6,134.88
  6. Step 6: Final answer
    x = 6,987.93

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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.