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Finding the Fourth Proportional to 9,690.84, 13,380.80 and 7,044.57

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Solution

The fourth proportional to 9,690.84, 13,380.80 and 7,044.57 is: 9,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.84 : 13,380.80 = 7,044.57 : x
  2. Step 2: Convert to fraction form
    9,690.84/13,380.80 = 7,044.57/x
  3. Step 3: Cross multiply
    9,690.84x = 13,380.80 × 7,044.57
  4. Step 4: Simplify right side
    9,690.84x = 94,261,947.03
  5. Step 5: Solve for x
    x = 94,261,947.03/9,690.84
  6. Step 6: Final answer
    x = 9,726.91

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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.