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Finding the Fourth Proportional to 9,909.94, 13,675.41 and 5,433.58

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Solution

The fourth proportional to 9,909.94, 13,675.41 and 5,433.58 is: 7,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.94 : 13,675.41 = 5,433.58 : x
  2. Step 2: Convert to fraction form
    9,909.94/13,675.41 = 5,433.58/x
  3. Step 3: Cross multiply
    9,909.94x = 13,675.41 × 5,433.58
  4. Step 4: Simplify right side
    9,909.94x = 74,306,434.27
  5. Step 5: Solve for x
    x = 74,306,434.27/9,909.94
  6. Step 6: Final answer
    x = 7,498.17

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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.