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Finding the Fourth Proportional to 6,783.60, 9,357.48 and 4,893.06

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Solution

The fourth proportional to 6,783.60, 9,357.48 and 4,893.06 is: 6,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.60 : 9,357.48 = 4,893.06 : x
  2. Step 2: Convert to fraction form
    6,783.60/9,357.48 = 4,893.06/x
  3. Step 3: Cross multiply
    6,783.60x = 9,357.48 × 4,893.06
  4. Step 4: Simplify right side
    6,783.60x = 45,786,711.09
  5. Step 5: Solve for x
    x = 45,786,711.09/6,783.60
  6. Step 6: Final answer
    x = 6,749.62

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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.