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Finding the Fourth Proportional to 9,745.40, 14,635.70 and 8,535.80

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Solution

The fourth proportional to 9,745.40, 14,635.70 and 8,535.80 is: 12,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.40 : 14,635.70 = 8,535.80 : x
  2. Step 2: Convert to fraction form
    9,745.40/14,635.70 = 8,535.80/x
  3. Step 3: Cross multiply
    9,745.40x = 14,635.70 × 8,535.80
  4. Step 4: Simplify right side
    9,745.40x = 124,927,408.06
  5. Step 5: Solve for x
    x = 124,927,408.06/9,745.40
  6. Step 6: Final answer
    x = 12,819.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.