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Finding the Fourth Proportional to 9,636.84, 13,298.67 and 5,387.64

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Solution

The fourth proportional to 9,636.84, 13,298.67 and 5,387.64 is: 7,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.84 : 13,298.67 = 5,387.64 : x
  2. Step 2: Convert to fraction form
    9,636.84/13,298.67 = 5,387.64/x
  3. Step 3: Cross multiply
    9,636.84x = 13,298.67 × 5,387.64
  4. Step 4: Simplify right side
    9,636.84x = 71,648,446.44
  5. Step 5: Solve for x
    x = 71,648,446.44/9,636.84
  6. Step 6: Final answer
    x = 7,434.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.