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Finding the Fourth Proportional to 6,483.78, 8,947.47 and 3,965.93

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Solution

The fourth proportional to 6,483.78, 8,947.47 and 3,965.93 is: 5,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.78 : 8,947.47 = 3,965.93 : x
  2. Step 2: Convert to fraction form
    6,483.78/8,947.47 = 3,965.93/x
  3. Step 3: Cross multiply
    6,483.78x = 8,947.47 × 3,965.93
  4. Step 4: Simplify right side
    6,483.78x = 35,484,994.96
  5. Step 5: Solve for x
    x = 35,484,994.96/6,483.78
  6. Step 6: Final answer
    x = 5,472.89

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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.