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Finding the Fourth Proportional to 6,941.42, 9,564.98 and 4,947.74

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Solution

The fourth proportional to 6,941.42, 9,564.98 and 4,947.74 is: 6,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.42 : 9,564.98 = 4,947.74 : x
  2. Step 2: Convert to fraction form
    6,941.42/9,564.98 = 4,947.74/x
  3. Step 3: Cross multiply
    6,941.42x = 9,564.98 × 4,947.74
  4. Step 4: Simplify right side
    6,941.42x = 47,325,034.15
  5. Step 5: Solve for x
    x = 47,325,034.15/6,941.42
  6. Step 6: Final answer
    x = 6,817.77

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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.