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Finding the Fourth Proportional to 9,780.84, 13,497.20 and 5,799.57

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Solution

The fourth proportional to 9,780.84, 13,497.20 and 5,799.57 is: 8,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.84 : 13,497.20 = 5,799.57 : x
  2. Step 2: Convert to fraction form
    9,780.84/13,497.20 = 5,799.57/x
  3. Step 3: Cross multiply
    9,780.84x = 13,497.20 × 5,799.57
  4. Step 4: Simplify right side
    9,780.84x = 78,277,927.21
  5. Step 5: Solve for x
    x = 78,277,927.21/9,780.84
  6. Step 6: Final answer
    x = 8,003.19

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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.