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Finding the Fourth Proportional to 9,804.90, 13,534.24 and 5,826.00

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Solution

The fourth proportional to 9,804.90, 13,534.24 and 5,826.00 is: 8,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.90 : 13,534.24 = 5,826.00 : x
  2. Step 2: Convert to fraction form
    9,804.90/13,534.24 = 5,826.00/x
  3. Step 3: Cross multiply
    9,804.90x = 13,534.24 × 5,826.00
  4. Step 4: Simplify right side
    9,804.90x = 78,850,491.29
  5. Step 5: Solve for x
    x = 78,850,491.29/9,804.90
  6. Step 6: Final answer
    x = 8,041.95

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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.