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Finding the Fourth Proportional to 6,947.51, 9,579.16 and 4,824.83

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Solution

The fourth proportional to 6,947.51, 9,579.16 and 4,824.83 is: 6,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.51 : 9,579.16 = 4,824.83 : x
  2. Step 2: Convert to fraction form
    6,947.51/9,579.16 = 4,824.83/x
  3. Step 3: Cross multiply
    6,947.51x = 9,579.16 × 4,824.83
  4. Step 4: Simplify right side
    6,947.51x = 46,217,848.52
  5. Step 5: Solve for x
    x = 46,217,848.52/6,947.51
  6. Step 6: Final answer
    x = 6,652.44

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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.