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Finding the Fourth Proportional to 6,147.66, 8,484.49 and 3,495.47

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Solution

The fourth proportional to 6,147.66, 8,484.49 and 3,495.47 is: 4,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.66 : 8,484.49 = 3,495.47 : x
  2. Step 2: Convert to fraction form
    6,147.66/8,484.49 = 3,495.47/x
  3. Step 3: Cross multiply
    6,147.66x = 8,484.49 × 3,495.47
  4. Step 4: Simplify right side
    6,147.66x = 29,657,242.21
  5. Step 5: Solve for x
    x = 29,657,242.21/6,147.66
  6. Step 6: Final answer
    x = 4,824.15

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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.