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Finding the Fourth Proportional to 9,909.84, 13,674.33 and 5,432.42

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Solution

The fourth proportional to 9,909.84, 13,674.33 and 5,432.42 is: 7,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.84 : 13,674.33 = 5,432.42 : x
  2. Step 2: Convert to fraction form
    9,909.84/13,674.33 = 5,432.42/x
  3. Step 3: Cross multiply
    9,909.84x = 13,674.33 × 5,432.42
  4. Step 4: Simplify right side
    9,909.84x = 74,284,668.69
  5. Step 5: Solve for x
    x = 74,284,668.69/9,909.84
  6. Step 6: Final answer
    x = 7,496.05

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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.