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Finding the Fourth Proportional to 6,406.71, 8,834.45 and 5,059.95

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Solution

The fourth proportional to 6,406.71, 8,834.45 and 5,059.95 is: 6,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.71 : 8,834.45 = 5,059.95 : x
  2. Step 2: Convert to fraction form
    6,406.71/8,834.45 = 5,059.95/x
  3. Step 3: Cross multiply
    6,406.71x = 8,834.45 × 5,059.95
  4. Step 4: Simplify right side
    6,406.71x = 44,701,849.98
  5. Step 5: Solve for x
    x = 44,701,849.98/6,406.71
  6. Step 6: Final answer
    x = 6,977.35

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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.