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Finding the Fourth Proportional to 9,210.92, 13,817.28 and 2,969.46

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Solution

The fourth proportional to 9,210.92, 13,817.28 and 2,969.46 is: 4,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.92 : 13,817.28 = 2,969.46 : x
  2. Step 2: Convert to fraction form
    9,210.92/13,817.28 = 2,969.46/x
  3. Step 3: Cross multiply
    9,210.92x = 13,817.28 × 2,969.46
  4. Step 4: Simplify right side
    9,210.92x = 41,029,871.40
  5. Step 5: Solve for x
    x = 41,029,871.40/9,210.92
  6. Step 6: Final answer
    x = 4,454.48

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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.