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Finding the Fourth Proportional to 4,668.96, 6,969.27 and 4,115.40

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Solution

The fourth proportional to 4,668.96, 6,969.27 and 4,115.40 is: 6,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.96 : 6,969.27 = 4,115.40 : x
  2. Step 2: Convert to fraction form
    4,668.96/6,969.27 = 4,115.40/x
  3. Step 3: Cross multiply
    4,668.96x = 6,969.27 × 4,115.40
  4. Step 4: Simplify right side
    4,668.96x = 28,681,333.76
  5. Step 5: Solve for x
    x = 28,681,333.76/4,668.96
  6. Step 6: Final answer
    x = 6,142.98

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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.