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Finding the Fourth Proportional to 9,206.40, 13,809.60 and 4,274.76

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Solution

The fourth proportional to 9,206.40, 13,809.60 and 4,274.76 is: 6,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.40 : 13,809.60 = 4,274.76 : x
  2. Step 2: Convert to fraction form
    9,206.40/13,809.60 = 4,274.76/x
  3. Step 3: Cross multiply
    9,206.40x = 13,809.60 × 4,274.76
  4. Step 4: Simplify right side
    9,206.40x = 59,032,725.70
  5. Step 5: Solve for x
    x = 59,032,725.70/9,206.40
  6. Step 6: Final answer
    x = 6,412.14

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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.