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Finding the Fourth Proportional to 9,206.53, 13,809.80 and 2,281.03

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Solution

The fourth proportional to 9,206.53, 13,809.80 and 2,281.03 is: 3,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.53 : 13,809.80 = 2,281.03 : x
  2. Step 2: Convert to fraction form
    9,206.53/13,809.80 = 2,281.03/x
  3. Step 3: Cross multiply
    9,206.53x = 13,809.80 × 2,281.03
  4. Step 4: Simplify right side
    9,206.53x = 31,500,582.50
  5. Step 5: Solve for x
    x = 31,500,582.50/9,206.53
  6. Step 6: Final answer
    x = 3,421.55

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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.