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Finding the Fourth Proportional to 6,941.67, 9,565.33 and 4,947.99

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Solution

The fourth proportional to 6,941.67, 9,565.33 and 4,947.99 is: 6,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.67 : 9,565.33 = 4,947.99 : x
  2. Step 2: Convert to fraction form
    6,941.67/9,565.33 = 4,947.99/x
  3. Step 3: Cross multiply
    6,941.67x = 9,565.33 × 4,947.99
  4. Step 4: Simplify right side
    6,941.67x = 47,329,157.19
  5. Step 5: Solve for x
    x = 47,329,157.19/6,941.67
  6. Step 6: Final answer
    x = 6,818.12

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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.