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Finding the Fourth Proportional to 6,484.36, 8,945.76 and 4,125.64

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Solution

The fourth proportional to 6,484.36, 8,945.76 and 4,125.64 is: 5,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.36 : 8,945.76 = 4,125.64 : x
  2. Step 2: Convert to fraction form
    6,484.36/8,945.76 = 4,125.64/x
  3. Step 3: Cross multiply
    6,484.36x = 8,945.76 × 4,125.64
  4. Step 4: Simplify right side
    6,484.36x = 36,906,985.29
  5. Step 5: Solve for x
    x = 36,906,985.29/6,484.36
  6. Step 6: Final answer
    x = 5,691.69

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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.