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Finding the Fourth Proportional to 6,499.63, 8,969.49 and 3,515.47

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Solution

The fourth proportional to 6,499.63, 8,969.49 and 3,515.47 is: 4,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.63 : 8,969.49 = 3,515.47 : x
  2. Step 2: Convert to fraction form
    6,499.63/8,969.49 = 3,515.47/x
  3. Step 3: Cross multiply
    6,499.63x = 8,969.49 × 3,515.47
  4. Step 4: Simplify right side
    6,499.63x = 31,531,973.01
  5. Step 5: Solve for x
    x = 31,531,973.01/6,499.63
  6. Step 6: Final answer
    x = 4,851.35

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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.