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Finding the Fourth Proportional to 9,206.48, 13,801.80 and 3,663.74

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Solution

The fourth proportional to 9,206.48, 13,801.80 and 3,663.74 is: 5,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.48 : 13,801.80 = 3,663.74 : x
  2. Step 2: Convert to fraction form
    9,206.48/13,801.80 = 3,663.74/x
  3. Step 3: Cross multiply
    9,206.48x = 13,801.80 × 3,663.74
  4. Step 4: Simplify right side
    9,206.48x = 50,566,206.73
  5. Step 5: Solve for x
    x = 50,566,206.73/9,206.48
  6. Step 6: Final answer
    x = 5,492.46

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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.