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Finding the Fourth Proportional to 9,826.90, 13,562.88 and 6,289.98

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Solution

The fourth proportional to 9,826.90, 13,562.88 and 6,289.98 is: 8,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.90 : 13,562.88 = 6,289.98 : x
  2. Step 2: Convert to fraction form
    9,826.90/13,562.88 = 6,289.98/x
  3. Step 3: Cross multiply
    9,826.90x = 13,562.88 × 6,289.98
  4. Step 4: Simplify right side
    9,826.90x = 85,310,243.94
  5. Step 5: Solve for x
    x = 85,310,243.94/9,826.90
  6. Step 6: Final answer
    x = 8,681.30

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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.