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Finding the Fourth Proportional to 6,499.96, 8,969.91 and 3,515.77

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Solution

The fourth proportional to 6,499.96, 8,969.91 and 3,515.77 is: 4,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.96 : 8,969.91 = 3,515.77 : x
  2. Step 2: Convert to fraction form
    6,499.96/8,969.91 = 3,515.77/x
  3. Step 3: Cross multiply
    6,499.96x = 8,969.91 × 3,515.77
  4. Step 4: Simplify right side
    6,499.96x = 31,536,140.48
  5. Step 5: Solve for x
    x = 31,536,140.48/6,499.96
  6. Step 6: Final answer
    x = 4,851.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.