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Finding the Fourth Proportional to 9,811.64, 13,541.37 and 5,834.95

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Solution

The fourth proportional to 9,811.64, 13,541.37 and 5,834.95 is: 8,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.64 : 13,541.37 = 5,834.95 : x
  2. Step 2: Convert to fraction form
    9,811.64/13,541.37 = 5,834.95/x
  3. Step 3: Cross multiply
    9,811.64x = 13,541.37 × 5,834.95
  4. Step 4: Simplify right side
    9,811.64x = 79,013,161.15
  5. Step 5: Solve for x
    x = 79,013,161.15/9,811.64
  6. Step 6: Final answer
    x = 8,053.00

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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.