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Finding the Fourth Proportional to 6,945.60, 9,583.14 and 4,113.03

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Solution

The fourth proportional to 6,945.60, 9,583.14 and 4,113.03 is: 5,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.60 : 9,583.14 = 4,113.03 : x
  2. Step 2: Convert to fraction form
    6,945.60/9,583.14 = 4,113.03/x
  3. Step 3: Cross multiply
    6,945.60x = 9,583.14 × 4,113.03
  4. Step 4: Simplify right side
    6,945.60x = 39,415,742.31
  5. Step 5: Solve for x
    x = 39,415,742.31/6,945.60
  6. Step 6: Final answer
    x = 5,674.92

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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.