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Finding the Fourth Proportional to 6,947.92, 9,592.55 and 4,562.12

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Solution

The fourth proportional to 6,947.92, 9,592.55 and 4,562.12 is: 6,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.92 : 9,592.55 = 4,562.12 : x
  2. Step 2: Convert to fraction form
    6,947.92/9,592.55 = 4,562.12/x
  3. Step 3: Cross multiply
    6,947.92x = 9,592.55 × 4,562.12
  4. Step 4: Simplify right side
    6,947.92x = 43,762,417.63
  5. Step 5: Solve for x
    x = 43,762,417.63/6,947.92
  6. Step 6: Final answer
    x = 6,298.64

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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.