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Finding the Fourth Proportional to 9,804.48, 14,706.24 and 3,648

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Solution

The fourth proportional to 9,804.48, 14,706.24 and 3,648 is: 5,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.48 : 14,706.24 = 3,648 : x
  2. Step 2: Convert to fraction form
    9,804.48/14,706.24 = 3,648/x
  3. Step 3: Cross multiply
    9,804.48x = 14,706.24 × 3,648
  4. Step 4: Simplify right side
    9,804.48x = 53,648,363.52
  5. Step 5: Solve for x
    x = 53,648,363.52/9,804.48
  6. Step 6: Final answer
    x = 5,471.82

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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.