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Finding the Fourth Proportional to 9,218.79, 13,830.47 and 2,645.49

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Solution

The fourth proportional to 9,218.79, 13,830.47 and 2,645.49 is: 3,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.79 : 13,830.47 = 2,645.49 : x
  2. Step 2: Convert to fraction form
    9,218.79/13,830.47 = 2,645.49/x
  3. Step 3: Cross multiply
    9,218.79x = 13,830.47 × 2,645.49
  4. Step 4: Simplify right side
    9,218.79x = 36,588,356.85
  5. Step 5: Solve for x
    x = 36,588,356.85/9,218.79
  6. Step 6: Final answer
    x = 3,968.89

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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.